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Finding the Fourth Proportional to 96.30, 143.63 and 92.86

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Solution

The fourth proportional to 96.30, 143.63 and 92.86 is: 138.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.30 : 143.63 = 92.86 : x
  2. Step 2: Convert to fraction form
    96.30/143.63 = 92.86/x
  3. Step 3: Cross multiply
    96.30x = 143.63 × 92.86
  4. Step 4: Simplify right side
    96.30x = 13,337.01
  5. Step 5: Solve for x
    x = 13,337.01/96.30
  6. Step 6: Final answer
    x = 138.49

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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.