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Finding the Fourth Proportional to 52.19, 78.10 and 32.92

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Solution

The fourth proportional to 52.19, 78.10 and 32.92 is: 49.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.19 : 78.10 = 32.92 : x
  2. Step 2: Convert to fraction form
    52.19/78.10 = 32.92/x
  3. Step 3: Cross multiply
    52.19x = 78.10 × 32.92
  4. Step 4: Simplify right side
    52.19x = 2,571.05
  5. Step 5: Solve for x
    x = 2,571.05/52.19
  6. Step 6: Final answer
    x = 49.26

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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.