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Finding the Fourth Proportional to 337.40, 454.05 and 337.40

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Solution

The fourth proportional to 337.40, 454.05 and 337.40 is: 454.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.40 : 454.05 = 337.40 : x
  2. Step 2: Convert to fraction form
    337.40/454.05 = 337.40/x
  3. Step 3: Cross multiply
    337.40x = 454.05 × 337.40
  4. Step 4: Simplify right side
    337.40x = 153,196.47
  5. Step 5: Solve for x
    x = 153,196.47/337.40
  6. Step 6: Final answer
    x = 454.05

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.