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Finding the Fourth Proportional to 498.46, 747.18 and 205.90

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Solution

The fourth proportional to 498.46, 747.18 and 205.90 is: 308.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.46 : 747.18 = 205.90 : x
  2. Step 2: Convert to fraction form
    498.46/747.18 = 205.90/x
  3. Step 3: Cross multiply
    498.46x = 747.18 × 205.90
  4. Step 4: Simplify right side
    498.46x = 153,844.36
  5. Step 5: Solve for x
    x = 153,844.36/498.46
  6. Step 6: Final answer
    x = 308.64

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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.