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Finding the Fourth Proportional to 442.48, 610.71 and 256.10

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Solution

The fourth proportional to 442.48, 610.71 and 256.10 is: 353.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.48 : 610.71 = 256.10 : x
  2. Step 2: Convert to fraction form
    442.48/610.71 = 256.10/x
  3. Step 3: Cross multiply
    442.48x = 610.71 × 256.10
  4. Step 4: Simplify right side
    442.48x = 156,402.83
  5. Step 5: Solve for x
    x = 156,402.83/442.48
  6. Step 6: Final answer
    x = 353.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.