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Finding the Fourth Proportional to 52.32, 71.76 and 51.69

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Solution

The fourth proportional to 52.32, 71.76 and 51.69 is: 70.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.32 : 71.76 = 51.69 : x
  2. Step 2: Convert to fraction form
    52.32/71.76 = 51.69/x
  3. Step 3: Cross multiply
    52.32x = 71.76 × 51.69
  4. Step 4: Simplify right side
    52.32x = 3,709.27
  5. Step 5: Solve for x
    x = 3,709.27/52.32
  6. Step 6: Final answer
    x = 70.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.