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Finding the Fourth Proportional to 242.38, 362.52 and 143.31

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Solution

The fourth proportional to 242.38, 362.52 and 143.31 is: 214.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.38 : 362.52 = 143.31 : x
  2. Step 2: Convert to fraction form
    242.38/362.52 = 143.31/x
  3. Step 3: Cross multiply
    242.38x = 362.52 × 143.31
  4. Step 4: Simplify right side
    242.38x = 51,954.10
  5. Step 5: Solve for x
    x = 51,954.10/242.38
  6. Step 6: Final answer
    x = 214.35

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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.