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Finding the Fourth Proportional to 442.53, 610.67 and 256.01

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Solution

The fourth proportional to 442.53, 610.67 and 256.01 is: 353.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.53 : 610.67 = 256.01 : x
  2. Step 2: Convert to fraction form
    442.53/610.67 = 256.01/x
  3. Step 3: Cross multiply
    442.53x = 610.67 × 256.01
  4. Step 4: Simplify right side
    442.53x = 156,335.21
  5. Step 5: Solve for x
    x = 156,335.21/442.53
  6. Step 6: Final answer
    x = 353.28

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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.