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Finding the Fourth Proportional to 371.63, 557.76 and 152.42

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Solution

The fourth proportional to 371.63, 557.76 and 152.42 is: 228.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.63 : 557.76 = 152.42 : x
  2. Step 2: Convert to fraction form
    371.63/557.76 = 152.42/x
  3. Step 3: Cross multiply
    371.63x = 557.76 × 152.42
  4. Step 4: Simplify right side
    371.63x = 85,013.78
  5. Step 5: Solve for x
    x = 85,013.78/371.63
  6. Step 6: Final answer
    x = 228.76

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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.