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Finding the Fourth Proportional to 96.30, 143.46 and 93.47

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Solution

The fourth proportional to 96.30, 143.46 and 93.47 is: 139.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.30 : 143.46 = 93.47 : x
  2. Step 2: Convert to fraction form
    96.30/143.46 = 93.47/x
  3. Step 3: Cross multiply
    96.30x = 143.46 × 93.47
  4. Step 4: Simplify right side
    96.30x = 13,408.49
  5. Step 5: Solve for x
    x = 13,408.49/96.30
  6. Step 6: Final answer
    x = 139.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.