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Finding the Fourth Proportional to 56.42, 84.22 and 49.25

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Solution

The fourth proportional to 56.42, 84.22 and 49.25 is: 73.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.42 : 84.22 = 49.25 : x
  2. Step 2: Convert to fraction form
    56.42/84.22 = 49.25/x
  3. Step 3: Cross multiply
    56.42x = 84.22 × 49.25
  4. Step 4: Simplify right side
    56.42x = 4,147.84
  5. Step 5: Solve for x
    x = 4,147.84/56.42
  6. Step 6: Final answer
    x = 73.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.