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Finding the Fourth Proportional to 266.48, 401.74 and 224

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Solution

The fourth proportional to 266.48, 401.74 and 224 is: 337.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.48 : 401.74 = 224 : x
  2. Step 2: Convert to fraction form
    266.48/401.74 = 224/x
  3. Step 3: Cross multiply
    266.48x = 401.74 × 224
  4. Step 4: Simplify right side
    266.48x = 89,989.76
  5. Step 5: Solve for x
    x = 89,989.76/266.48
  6. Step 6: Final answer
    x = 337.70

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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.