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Finding the Fourth Proportional to 56.16, 84.35 and 51.12

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Solution

The fourth proportional to 56.16, 84.35 and 51.12 is: 76.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.16 : 84.35 = 51.12 : x
  2. Step 2: Convert to fraction form
    56.16/84.35 = 51.12/x
  3. Step 3: Cross multiply
    56.16x = 84.35 × 51.12
  4. Step 4: Simplify right side
    56.16x = 4,311.97
  5. Step 5: Solve for x
    x = 4,311.97/56.16
  6. Step 6: Final answer
    x = 76.78

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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.