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Finding the Fourth Proportional to 210.00, 289.81 and 116.74

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Solution

The fourth proportional to 210.00, 289.81 and 116.74 is: 161.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.00 : 289.81 = 116.74 : x
  2. Step 2: Convert to fraction form
    210.00/289.81 = 116.74/x
  3. Step 3: Cross multiply
    210.00x = 289.81 × 116.74
  4. Step 4: Simplify right side
    210.00x = 33,832.57
  5. Step 5: Solve for x
    x = 33,832.57/210.00
  6. Step 6: Final answer
    x = 161.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.