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Finding the Fourth Proportional to 52.36, 71.78 and 51.76

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Solution

The fourth proportional to 52.36, 71.78 and 51.76 is: 70.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.36 : 71.78 = 51.76 : x
  2. Step 2: Convert to fraction form
    52.36/71.78 = 51.76/x
  3. Step 3: Cross multiply
    52.36x = 71.78 × 51.76
  4. Step 4: Simplify right side
    52.36x = 3,715.33
  5. Step 5: Solve for x
    x = 3,715.33/52.36
  6. Step 6: Final answer
    x = 70.96

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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.