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Finding the Fourth Proportional to 362.10, 542.87 and 142.79

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Solution

The fourth proportional to 362.10, 542.87 and 142.79 is: 214.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.10 : 542.87 = 142.79 : x
  2. Step 2: Convert to fraction form
    362.10/542.87 = 142.79/x
  3. Step 3: Cross multiply
    362.10x = 542.87 × 142.79
  4. Step 4: Simplify right side
    362.10x = 77,513.51
  5. Step 5: Solve for x
    x = 77,513.51/362.10
  6. Step 6: Final answer
    x = 214.06

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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.