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Finding the Fourth Proportional to 56.19, 84.72 and 54.57

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Solution

The fourth proportional to 56.19, 84.72 and 54.57 is: 82.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.19 : 84.72 = 54.57 : x
  2. Step 2: Convert to fraction form
    56.19/84.72 = 54.57/x
  3. Step 3: Cross multiply
    56.19x = 84.72 × 54.57
  4. Step 4: Simplify right side
    56.19x = 4,623.17
  5. Step 5: Solve for x
    x = 4,623.17/56.19
  6. Step 6: Final answer
    x = 82.28

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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.