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Finding the Fourth Proportional to 52.40, 78.71 and 43.29

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Solution

The fourth proportional to 52.40, 78.71 and 43.29 is: 65.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.40 : 78.71 = 43.29 : x
  2. Step 2: Convert to fraction form
    52.40/78.71 = 43.29/x
  3. Step 3: Cross multiply
    52.40x = 78.71 × 43.29
  4. Step 4: Simplify right side
    52.40x = 3,407.14
  5. Step 5: Solve for x
    x = 3,407.14/52.40
  6. Step 6: Final answer
    x = 65.02

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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.