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Finding the Fourth Proportional to 48.48, 66.96 and 45.28

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Solution

The fourth proportional to 48.48, 66.96 and 45.28 is: 62.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.48 : 66.96 = 45.28 : x
  2. Step 2: Convert to fraction form
    48.48/66.96 = 45.28/x
  3. Step 3: Cross multiply
    48.48x = 66.96 × 45.28
  4. Step 4: Simplify right side
    48.48x = 3,031.95
  5. Step 5: Solve for x
    x = 3,031.95/48.48
  6. Step 6: Final answer
    x = 62.54

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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.