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Finding the Fourth Proportional to 96.50, 144.63 and 42.34

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Solution

The fourth proportional to 96.50, 144.63 and 42.34 is: 63.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.50 : 144.63 = 42.34 : x
  2. Step 2: Convert to fraction form
    96.50/144.63 = 42.34/x
  3. Step 3: Cross multiply
    96.50x = 144.63 × 42.34
  4. Step 4: Simplify right side
    96.50x = 6,123.63
  5. Step 5: Solve for x
    x = 6,123.63/96.50
  6. Step 6: Final answer
    x = 63.46

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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.