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Finding the Fourth Proportional to 362.01, 542.87 and 156.56

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Solution

The fourth proportional to 362.01, 542.87 and 156.56 is: 234.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.01 : 542.87 = 156.56 : x
  2. Step 2: Convert to fraction form
    362.01/542.87 = 156.56/x
  3. Step 3: Cross multiply
    362.01x = 542.87 × 156.56
  4. Step 4: Simplify right side
    362.01x = 84,988.23
  5. Step 5: Solve for x
    x = 84,988.23/362.01
  6. Step 6: Final answer
    x = 234.77

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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.