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Finding the Fourth Proportional to 334.28, 458.60 and 315.66

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Solution

The fourth proportional to 334.28, 458.60 and 315.66 is: 433.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.28 : 458.60 = 315.66 : x
  2. Step 2: Convert to fraction form
    334.28/458.60 = 315.66/x
  3. Step 3: Cross multiply
    334.28x = 458.60 × 315.66
  4. Step 4: Simplify right side
    334.28x = 144,761.68
  5. Step 5: Solve for x
    x = 144,761.68/334.28
  6. Step 6: Final answer
    x = 433.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.