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Finding the Fourth Proportional to 56.50, 78.28 and 54.04

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Solution

The fourth proportional to 56.50, 78.28 and 54.04 is: 74.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.50 : 78.28 = 54.04 : x
  2. Step 2: Convert to fraction form
    56.50/78.28 = 54.04/x
  3. Step 3: Cross multiply
    56.50x = 78.28 × 54.04
  4. Step 4: Simplify right side
    56.50x = 4,230.25
  5. Step 5: Solve for x
    x = 4,230.25/56.50
  6. Step 6: Final answer
    x = 74.87

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.