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Finding the Fourth Proportional to 96.30, 145.20 and 95.28

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Solution

The fourth proportional to 96.30, 145.20 and 95.28 is: 143.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.30 : 145.20 = 95.28 : x
  2. Step 2: Convert to fraction form
    96.30/145.20 = 95.28/x
  3. Step 3: Cross multiply
    96.30x = 145.20 × 95.28
  4. Step 4: Simplify right side
    96.30x = 13,834.66
  5. Step 5: Solve for x
    x = 13,834.66/96.30
  6. Step 6: Final answer
    x = 143.66

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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.