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Finding the Fourth Proportional to 362.56, 542.38 and 336.64

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Solution

The fourth proportional to 362.56, 542.38 and 336.64 is: 503.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.56 : 542.38 = 336.64 : x
  2. Step 2: Convert to fraction form
    362.56/542.38 = 336.64/x
  3. Step 3: Cross multiply
    362.56x = 542.38 × 336.64
  4. Step 4: Simplify right side
    362.56x = 182,586.80
  5. Step 5: Solve for x
    x = 182,586.80/362.56
  6. Step 6: Final answer
    x = 503.60

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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.