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Finding the Fourth Proportional to 242.47, 334.58 and 142.87

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Solution

The fourth proportional to 242.47, 334.58 and 142.87 is: 197.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.47 : 334.58 = 142.87 : x
  2. Step 2: Convert to fraction form
    242.47/334.58 = 142.87/x
  3. Step 3: Cross multiply
    242.47x = 334.58 × 142.87
  4. Step 4: Simplify right side
    242.47x = 47,799.77
  5. Step 5: Solve for x
    x = 47,799.77/242.47
  6. Step 6: Final answer
    x = 197.14

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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.