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Finding the Fourth Proportional to 98.84, 136.47 and 66.16

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Solution

The fourth proportional to 98.84, 136.47 and 66.16 is: 91.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.84 : 136.47 = 66.16 : x
  2. Step 2: Convert to fraction form
    98.84/136.47 = 66.16/x
  3. Step 3: Cross multiply
    98.84x = 136.47 × 66.16
  4. Step 4: Simplify right side
    98.84x = 9,028.86
  5. Step 5: Solve for x
    x = 9,028.86/98.84
  6. Step 6: Final answer
    x = 91.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.