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Finding the Fourth Proportional to 51.42, 76.81 and 43.32

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Solution

The fourth proportional to 51.42, 76.81 and 43.32 is: 64.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.42 : 76.81 = 43.32 : x
  2. Step 2: Convert to fraction form
    51.42/76.81 = 43.32/x
  3. Step 3: Cross multiply
    51.42x = 76.81 × 43.32
  4. Step 4: Simplify right side
    51.42x = 3,327.19
  5. Step 5: Solve for x
    x = 3,327.19/51.42
  6. Step 6: Final answer
    x = 64.71

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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.