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Finding the Fourth Proportional to 337.35, 462.80 and 316.40

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Solution

The fourth proportional to 337.35, 462.80 and 316.40 is: 434.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.35 : 462.80 = 316.40 : x
  2. Step 2: Convert to fraction form
    337.35/462.80 = 316.40/x
  3. Step 3: Cross multiply
    337.35x = 462.80 × 316.40
  4. Step 4: Simplify right side
    337.35x = 146,426.02
  5. Step 5: Solve for x
    x = 146,426.02/337.35
  6. Step 6: Final answer
    x = 434.05

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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.