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Finding the Fourth Proportional to 457.25, 630.97 and 270.75

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Solution

The fourth proportional to 457.25, 630.97 and 270.75 is: 373.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.25 : 630.97 = 270.75 : x
  2. Step 2: Convert to fraction form
    457.25/630.97 = 270.75/x
  3. Step 3: Cross multiply
    457.25x = 630.97 × 270.75
  4. Step 4: Simplify right side
    457.25x = 170,836.57
  5. Step 5: Solve for x
    x = 170,836.57/457.25
  6. Step 6: Final answer
    x = 373.62

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Find fourth proportional to 228.62, 315.49 and 135.38
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.