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Finding the Fourth Proportional to 330.60, 497.77 and 292.32

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Solution

The fourth proportional to 330.60, 497.77 and 292.32 is: 440.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.60 : 497.77 = 292.32 : x
  2. Step 2: Convert to fraction form
    330.60/497.77 = 292.32/x
  3. Step 3: Cross multiply
    330.60x = 497.77 × 292.32
  4. Step 4: Simplify right side
    330.60x = 145,508.13
  5. Step 5: Solve for x
    x = 145,508.13/330.60
  6. Step 6: Final answer
    x = 440.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.