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Finding the Fourth Proportional to 51.65, 76.89 and 51.35

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Solution

The fourth proportional to 51.65, 76.89 and 51.35 is: 76.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.65 : 76.89 = 51.35 : x
  2. Step 2: Convert to fraction form
    51.65/76.89 = 51.35/x
  3. Step 3: Cross multiply
    51.65x = 76.89 × 51.35
  4. Step 4: Simplify right side
    51.65x = 3,948.30
  5. Step 5: Solve for x
    x = 3,948.30/51.65
  6. Step 6: Final answer
    x = 76.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.