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Finding the Fourth Proportional to 261.29, 391.29 and 184.14

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Solution

The fourth proportional to 261.29, 391.29 and 184.14 is: 275.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.29 : 391.29 = 184.14 : x
  2. Step 2: Convert to fraction form
    261.29/391.29 = 184.14/x
  3. Step 3: Cross multiply
    261.29x = 391.29 × 184.14
  4. Step 4: Simplify right side
    261.29x = 72,053.46
  5. Step 5: Solve for x
    x = 72,053.46/261.29
  6. Step 6: Final answer
    x = 275.76

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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.