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Finding the Fourth Proportional to 310.52, 429.02 and 247.68

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Solution

The fourth proportional to 310.52, 429.02 and 247.68 is: 342.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.52 : 429.02 = 247.68 : x
  2. Step 2: Convert to fraction form
    310.52/429.02 = 247.68/x
  3. Step 3: Cross multiply
    310.52x = 429.02 × 247.68
  4. Step 4: Simplify right side
    310.52x = 106,259.67
  5. Step 5: Solve for x
    x = 106,259.67/310.52
  6. Step 6: Final answer
    x = 342.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.