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Finding the Fourth Proportional to 52.19, 78.20 and 49.91

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Solution

The fourth proportional to 52.19, 78.20 and 49.91 is: 74.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.19 : 78.20 = 49.91 : x
  2. Step 2: Convert to fraction form
    52.19/78.20 = 49.91/x
  3. Step 3: Cross multiply
    52.19x = 78.20 × 49.91
  4. Step 4: Simplify right side
    52.19x = 3,902.32
  5. Step 5: Solve for x
    x = 3,902.32/52.19
  6. Step 6: Final answer
    x = 74.77

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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.