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Finding the Fourth Proportional to 311.62, 469.72 and 292.54

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Solution

The fourth proportional to 311.62, 469.72 and 292.54 is: 440.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.62 : 469.72 = 292.54 : x
  2. Step 2: Convert to fraction form
    311.62/469.72 = 292.54/x
  3. Step 3: Cross multiply
    311.62x = 469.72 × 292.54
  4. Step 4: Simplify right side
    311.62x = 137,411.89
  5. Step 5: Solve for x
    x = 137,411.89/311.62
  6. Step 6: Final answer
    x = 440.96

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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.