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Finding the Fourth Proportional to 453.72, 681.12 and 248.28

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Solution

The fourth proportional to 453.72, 681.12 and 248.28 is: 372.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.72 : 681.12 = 248.28 : x
  2. Step 2: Convert to fraction form
    453.72/681.12 = 248.28/x
  3. Step 3: Cross multiply
    453.72x = 681.12 × 248.28
  4. Step 4: Simplify right side
    453.72x = 169,108.47
  5. Step 5: Solve for x
    x = 169,108.47/453.72
  6. Step 6: Final answer
    x = 372.72

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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.