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Finding the Fourth Proportional to 859.49, 1,289.24 and 210.23

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Solution

The fourth proportional to 859.49, 1,289.24 and 210.23 is: 315.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.49 : 1,289.24 = 210.23 : x
  2. Step 2: Convert to fraction form
    859.49/1,289.24 = 210.23/x
  3. Step 3: Cross multiply
    859.49x = 1,289.24 × 210.23
  4. Step 4: Simplify right side
    859.49x = 271,033.18
  5. Step 5: Solve for x
    x = 271,033.18/859.49
  6. Step 6: Final answer
    x = 315.34

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.