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Finding the Fourth Proportional to 334.65, 498.27 and 314.61

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Solution

The fourth proportional to 334.65, 498.27 and 314.61 is: 468.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.65 : 498.27 = 314.61 : x
  2. Step 2: Convert to fraction form
    334.65/498.27 = 314.61/x
  3. Step 3: Cross multiply
    334.65x = 498.27 × 314.61
  4. Step 4: Simplify right side
    334.65x = 156,760.72
  5. Step 5: Solve for x
    x = 156,760.72/334.65
  6. Step 6: Final answer
    x = 468.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.