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Finding the Fourth Proportional to 274.42, 410.76 and 152.38

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Solution

The fourth proportional to 274.42, 410.76 and 152.38 is: 228.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.42 : 410.76 = 152.38 : x
  2. Step 2: Convert to fraction form
    274.42/410.76 = 152.38/x
  3. Step 3: Cross multiply
    274.42x = 410.76 × 152.38
  4. Step 4: Simplify right side
    274.42x = 62,591.61
  5. Step 5: Solve for x
    x = 62,591.61/274.42
  6. Step 6: Final answer
    x = 228.09

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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.