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Finding the Fourth Proportional to 261.16, 391.44 and 98.68

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Solution

The fourth proportional to 261.16, 391.44 and 98.68 is: 147.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.16 : 391.44 = 98.68 : x
  2. Step 2: Convert to fraction form
    261.16/391.44 = 98.68/x
  3. Step 3: Cross multiply
    261.16x = 391.44 × 98.68
  4. Step 4: Simplify right side
    261.16x = 38,627.30
  5. Step 5: Solve for x
    x = 38,627.30/261.16
  6. Step 6: Final answer
    x = 147.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.