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Finding the Fourth Proportional to 498.34, 747.08 and 205.66

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Solution

The fourth proportional to 498.34, 747.08 and 205.66 is: 308.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.34 : 747.08 = 205.66 : x
  2. Step 2: Convert to fraction form
    498.34/747.08 = 205.66/x
  3. Step 3: Cross multiply
    498.34x = 747.08 × 205.66
  4. Step 4: Simplify right side
    498.34x = 153,644.24
  5. Step 5: Solve for x
    x = 153,644.24/498.34
  6. Step 6: Final answer
    x = 308.31

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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.