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Finding the Fourth Proportional to 96.42, 144.54 and 48.27

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Solution

The fourth proportional to 96.42, 144.54 and 48.27 is: 72.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.42 : 144.54 = 48.27 : x
  2. Step 2: Convert to fraction form
    96.42/144.54 = 48.27/x
  3. Step 3: Cross multiply
    96.42x = 144.54 × 48.27
  4. Step 4: Simplify right side
    96.42x = 6,976.95
  5. Step 5: Solve for x
    x = 6,976.95/96.42
  6. Step 6: Final answer
    x = 72.36

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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.