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Finding the Fourth Proportional to 274.35, 411.69 and 152.70

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Solution

The fourth proportional to 274.35, 411.69 and 152.70 is: 229.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.35 : 411.69 = 152.70 : x
  2. Step 2: Convert to fraction form
    274.35/411.69 = 152.70/x
  3. Step 3: Cross multiply
    274.35x = 411.69 × 152.70
  4. Step 4: Simplify right side
    274.35x = 62,865.06
  5. Step 5: Solve for x
    x = 62,865.06/274.35
  6. Step 6: Final answer
    x = 229.14

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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.