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Finding the Fourth Proportional to 52.71, 78.89 and 43.05

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Solution

The fourth proportional to 52.71, 78.89 and 43.05 is: 64.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.71 : 78.89 = 43.05 : x
  2. Step 2: Convert to fraction form
    52.71/78.89 = 43.05/x
  3. Step 3: Cross multiply
    52.71x = 78.89 × 43.05
  4. Step 4: Simplify right side
    52.71x = 3,396.21
  5. Step 5: Solve for x
    x = 3,396.21/52.71
  6. Step 6: Final answer
    x = 64.43

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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.