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Finding the Fourth Proportional to 261.98, 391.07 and 242.98

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Solution

The fourth proportional to 261.98, 391.07 and 242.98 is: 362.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.98 : 391.07 = 242.98 : x
  2. Step 2: Convert to fraction form
    261.98/391.07 = 242.98/x
  3. Step 3: Cross multiply
    261.98x = 391.07 × 242.98
  4. Step 4: Simplify right side
    261.98x = 95,020.00
  5. Step 5: Solve for x
    x = 95,020.00/261.98
  6. Step 6: Final answer
    x = 362.71

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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.