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Finding the Fourth Proportional to 310.51, 431.47 and 307.13

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Solution

The fourth proportional to 310.51, 431.47 and 307.13 is: 426.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.51 : 431.47 = 307.13 : x
  2. Step 2: Convert to fraction form
    310.51/431.47 = 307.13/x
  3. Step 3: Cross multiply
    310.51x = 431.47 × 307.13
  4. Step 4: Simplify right side
    310.51x = 132,517.38
  5. Step 5: Solve for x
    x = 132,517.38/310.51
  6. Step 6: Final answer
    x = 426.78

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.