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Finding the Fourth Proportional to 52.36, 78.57 and 44.87

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Solution

The fourth proportional to 52.36, 78.57 and 44.87 is: 67.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.36 : 78.57 = 44.87 : x
  2. Step 2: Convert to fraction form
    52.36/78.57 = 44.87/x
  3. Step 3: Cross multiply
    52.36x = 78.57 × 44.87
  4. Step 4: Simplify right side
    52.36x = 3,525.49
  5. Step 5: Solve for x
    x = 3,525.49/52.36
  6. Step 6: Final answer
    x = 67.33

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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.