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Finding the Fourth Proportional to 362.31, 542.03 and 200.10

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Solution

The fourth proportional to 362.31, 542.03 and 200.10 is: 299.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.31 : 542.03 = 200.10 : x
  2. Step 2: Convert to fraction form
    362.31/542.03 = 200.10/x
  3. Step 3: Cross multiply
    362.31x = 542.03 × 200.10
  4. Step 4: Simplify right side
    362.31x = 108,459.20
  5. Step 5: Solve for x
    x = 108,459.20/362.31
  6. Step 6: Final answer
    x = 299.35

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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.