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Finding the Fourth Proportional to 408.42, 614.70 and 306.25

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Solution

The fourth proportional to 408.42, 614.70 and 306.25 is: 460.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.42 : 614.70 = 306.25 : x
  2. Step 2: Convert to fraction form
    408.42/614.70 = 306.25/x
  3. Step 3: Cross multiply
    408.42x = 614.70 × 306.25
  4. Step 4: Simplify right side
    408.42x = 188,250.34
  5. Step 5: Solve for x
    x = 188,250.34/408.42
  6. Step 6: Final answer
    x = 460.92

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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.