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Finding the Fourth Proportional to 632.38, 947.34 and 307.96

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Solution

The fourth proportional to 632.38, 947.34 and 307.96 is: 461.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.38 : 947.34 = 307.96 : x
  2. Step 2: Convert to fraction form
    632.38/947.34 = 307.96/x
  3. Step 3: Cross multiply
    632.38x = 947.34 × 307.96
  4. Step 4: Simplify right side
    632.38x = 291,742.83
  5. Step 5: Solve for x
    x = 291,742.83/632.38
  6. Step 6: Final answer
    x = 461.34

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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.