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Finding the Fourth Proportional to 56.28, 84.39 and 41.07

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Solution

The fourth proportional to 56.28, 84.39 and 41.07 is: 61.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.28 : 84.39 = 41.07 : x
  2. Step 2: Convert to fraction form
    56.28/84.39 = 41.07/x
  3. Step 3: Cross multiply
    56.28x = 84.39 × 41.07
  4. Step 4: Simplify right side
    56.28x = 3,465.90
  5. Step 5: Solve for x
    x = 3,465.90/56.28
  6. Step 6: Final answer
    x = 61.58

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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.