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Finding the Fourth Proportional to 56.55, 85.28 and 56.19

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Solution

The fourth proportional to 56.55, 85.28 and 56.19 is: 84.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.55 : 85.28 = 56.19 : x
  2. Step 2: Convert to fraction form
    56.55/85.28 = 56.19/x
  3. Step 3: Cross multiply
    56.55x = 85.28 × 56.19
  4. Step 4: Simplify right side
    56.55x = 4,791.88
  5. Step 5: Solve for x
    x = 4,791.88/56.55
  6. Step 6: Final answer
    x = 84.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.