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Finding the Fourth Proportional to 372.44, 557.74 and 256.56

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Solution

The fourth proportional to 372.44, 557.74 and 256.56 is: 384.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.44 : 557.74 = 256.56 : x
  2. Step 2: Convert to fraction form
    372.44/557.74 = 256.56/x
  3. Step 3: Cross multiply
    372.44x = 557.74 × 256.56
  4. Step 4: Simplify right side
    372.44x = 143,089.70
  5. Step 5: Solve for x
    x = 143,089.70/372.44
  6. Step 6: Final answer
    x = 384.20

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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.