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Finding the Fourth Proportional to 98.32, 136.23 and 96.08

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Solution

The fourth proportional to 98.32, 136.23 and 96.08 is: 133.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.32 : 136.23 = 96.08 : x
  2. Step 2: Convert to fraction form
    98.32/136.23 = 96.08/x
  3. Step 3: Cross multiply
    98.32x = 136.23 × 96.08
  4. Step 4: Simplify right side
    98.32x = 13,088.98
  5. Step 5: Solve for x
    x = 13,088.98/98.32
  6. Step 6: Final answer
    x = 133.13

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.