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Finding the Fourth Proportional to 52.19, 78.08 and 44.87

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Solution

The fourth proportional to 52.19, 78.08 and 44.87 is: 67.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.19 : 78.08 = 44.87 : x
  2. Step 2: Convert to fraction form
    52.19/78.08 = 44.87/x
  3. Step 3: Cross multiply
    52.19x = 78.08 × 44.87
  4. Step 4: Simplify right side
    52.19x = 3,503.06
  5. Step 5: Solve for x
    x = 3,503.06/52.19
  6. Step 6: Final answer
    x = 67.12

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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.