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Finding the Fourth Proportional to 291.55, 435.47 and 210.34

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Solution

The fourth proportional to 291.55, 435.47 and 210.34 is: 314.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.55 : 435.47 = 210.34 : x
  2. Step 2: Convert to fraction form
    291.55/435.47 = 210.34/x
  3. Step 3: Cross multiply
    291.55x = 435.47 × 210.34
  4. Step 4: Simplify right side
    291.55x = 91,596.76
  5. Step 5: Solve for x
    x = 91,596.76/291.55
  6. Step 6: Final answer
    x = 314.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.