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Finding the Fourth Proportional to 261.76, 394.72 and 224

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Solution

The fourth proportional to 261.76, 394.72 and 224 is: 337.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.76 : 394.72 = 224 : x
  2. Step 2: Convert to fraction form
    261.76/394.72 = 224/x
  3. Step 3: Cross multiply
    261.76x = 394.72 × 224
  4. Step 4: Simplify right side
    261.76x = 88,417.28
  5. Step 5: Solve for x
    x = 88,417.28/261.76
  6. Step 6: Final answer
    x = 337.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.