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Finding the Fourth Proportional to 457.53, 686.45 and 226.28

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Solution

The fourth proportional to 457.53, 686.45 and 226.28 is: 339.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.53 : 686.45 = 226.28 : x
  2. Step 2: Convert to fraction form
    457.53/686.45 = 226.28/x
  3. Step 3: Cross multiply
    457.53x = 686.45 × 226.28
  4. Step 4: Simplify right side
    457.53x = 155,325.34
  5. Step 5: Solve for x
    x = 155,325.34/457.53
  6. Step 6: Final answer
    x = 339.49

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.