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Finding the Fourth Proportional to 96.40, 145.21 and 72.50

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Solution

The fourth proportional to 96.40, 145.21 and 72.50 is: 109.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.40 : 145.21 = 72.50 : x
  2. Step 2: Convert to fraction form
    96.40/145.21 = 72.50/x
  3. Step 3: Cross multiply
    96.40x = 145.21 × 72.50
  4. Step 4: Simplify right side
    96.40x = 10,527.73
  5. Step 5: Solve for x
    x = 10,527.73/96.40
  6. Step 6: Final answer
    x = 109.21

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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.