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Finding the Fourth Proportional to 51.52, 71.20 and 41.67

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Solution

The fourth proportional to 51.52, 71.20 and 41.67 is: 57.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.52 : 71.20 = 41.67 : x
  2. Step 2: Convert to fraction form
    51.52/71.20 = 41.67/x
  3. Step 3: Cross multiply
    51.52x = 71.20 × 41.67
  4. Step 4: Simplify right side
    51.52x = 2,966.44
  5. Step 5: Solve for x
    x = 2,966.44/51.52
  6. Step 6: Final answer
    x = 57.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.