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Finding the Fourth Proportional to 56.26, 84.40 and 47.78

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Solution

The fourth proportional to 56.26, 84.40 and 47.78 is: 71.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.26 : 84.40 = 47.78 : x
  2. Step 2: Convert to fraction form
    56.26/84.40 = 47.78/x
  3. Step 3: Cross multiply
    56.26x = 84.40 × 47.78
  4. Step 4: Simplify right side
    56.26x = 4,032.63
  5. Step 5: Solve for x
    x = 4,032.63/56.26
  6. Step 6: Final answer
    x = 71.68

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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.