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Finding the Fourth Proportional to 330.77, 496.18 and 99.64

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Solution

The fourth proportional to 330.77, 496.18 and 99.64 is: 149.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.77 : 496.18 = 99.64 : x
  2. Step 2: Convert to fraction form
    330.77/496.18 = 99.64/x
  3. Step 3: Cross multiply
    330.77x = 496.18 × 99.64
  4. Step 4: Simplify right side
    330.77x = 49,439.38
  5. Step 5: Solve for x
    x = 49,439.38/330.77
  6. Step 6: Final answer
    x = 149.47

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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.