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Finding the Fourth Proportional to 410.50, 566.48 and 224

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Solution

The fourth proportional to 410.50, 566.48 and 224 is: 309.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.50 : 566.48 = 224 : x
  2. Step 2: Convert to fraction form
    410.50/566.48 = 224/x
  3. Step 3: Cross multiply
    410.50x = 566.48 × 224
  4. Step 4: Simplify right side
    410.50x = 126,891.52
  5. Step 5: Solve for x
    x = 126,891.52/410.50
  6. Step 6: Final answer
    x = 309.11

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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.