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Finding the Fourth Proportional to 442.61, 610.80 and 256.09

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Solution

The fourth proportional to 442.61, 610.80 and 256.09 is: 353.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.61 : 610.80 = 256.09 : x
  2. Step 2: Convert to fraction form
    442.61/610.80 = 256.09/x
  3. Step 3: Cross multiply
    442.61x = 610.80 × 256.09
  4. Step 4: Simplify right side
    442.61x = 156,419.77
  5. Step 5: Solve for x
    x = 156,419.77/442.61
  6. Step 6: Final answer
    x = 353.40

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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.