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Finding the Fourth Proportional to 372.42, 557.46 and 256.19

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Solution

The fourth proportional to 372.42, 557.46 and 256.19 is: 383.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.42 : 557.46 = 256.19 : x
  2. Step 2: Convert to fraction form
    372.42/557.46 = 256.19/x
  3. Step 3: Cross multiply
    372.42x = 557.46 × 256.19
  4. Step 4: Simplify right side
    372.42x = 142,813.74
  5. Step 5: Solve for x
    x = 142,813.74/372.42
  6. Step 6: Final answer
    x = 383.47

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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.