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Finding the Fourth Proportional to 266.32, 366.02 and 229.28

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Solution

The fourth proportional to 266.32, 366.02 and 229.28 is: 315.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.32 : 366.02 = 229.28 : x
  2. Step 2: Convert to fraction form
    266.32/366.02 = 229.28/x
  3. Step 3: Cross multiply
    266.32x = 366.02 × 229.28
  4. Step 4: Simplify right side
    266.32x = 83,921.07
  5. Step 5: Solve for x
    x = 83,921.07/266.32
  6. Step 6: Final answer
    x = 315.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.