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Finding the Fourth Proportional to 362.09, 542.70 and 142.52

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Solution

The fourth proportional to 362.09, 542.70 and 142.52 is: 213.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.09 : 542.70 = 142.52 : x
  2. Step 2: Convert to fraction form
    362.09/542.70 = 142.52/x
  3. Step 3: Cross multiply
    362.09x = 542.70 × 142.52
  4. Step 4: Simplify right side
    362.09x = 77,342.89
  5. Step 5: Solve for x
    x = 77,342.89/362.09
  6. Step 6: Final answer
    x = 213.60

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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.