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Finding the Fourth Proportional to 274.32, 411.78 and 152.88

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Solution

The fourth proportional to 274.32, 411.78 and 152.88 is: 229.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.32 : 411.78 = 152.88 : x
  2. Step 2: Convert to fraction form
    274.32/411.78 = 152.88/x
  3. Step 3: Cross multiply
    274.32x = 411.78 × 152.88
  4. Step 4: Simplify right side
    274.32x = 62,952.93
  5. Step 5: Solve for x
    x = 62,952.93/274.32
  6. Step 6: Final answer
    x = 229.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.