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Finding the Fourth Proportional to 374.56, 560.64 and 237.12

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Solution

The fourth proportional to 374.56, 560.64 and 237.12 is: 354.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.56 : 560.64 = 237.12 : x
  2. Step 2: Convert to fraction form
    374.56/560.64 = 237.12/x
  3. Step 3: Cross multiply
    374.56x = 560.64 × 237.12
  4. Step 4: Simplify right side
    374.56x = 132,938.96
  5. Step 5: Solve for x
    x = 132,938.96/374.56
  6. Step 6: Final answer
    x = 354.92

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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.