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Finding the Fourth Proportional to 48.48, 73.14 and 45.24

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Solution

The fourth proportional to 48.48, 73.14 and 45.24 is: 68.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.48 : 73.14 = 45.24 : x
  2. Step 2: Convert to fraction form
    48.48/73.14 = 45.24/x
  3. Step 3: Cross multiply
    48.48x = 73.14 × 45.24
  4. Step 4: Simplify right side
    48.48x = 3,308.85
  5. Step 5: Solve for x
    x = 3,308.85/48.48
  6. Step 6: Final answer
    x = 68.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.