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Finding the Fourth Proportional to 266.07, 366.79 and 224.76

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Solution

The fourth proportional to 266.07, 366.79 and 224.76 is: 309.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.07 : 366.79 = 224.76 : x
  2. Step 2: Convert to fraction form
    266.07/366.79 = 224.76/x
  3. Step 3: Cross multiply
    266.07x = 366.79 × 224.76
  4. Step 4: Simplify right side
    266.07x = 82,439.72
  5. Step 5: Solve for x
    x = 82,439.72/266.07
  6. Step 6: Final answer
    x = 309.84

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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.