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Finding the Fourth Proportional to 56.76, 85.11 and 22.51

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Solution

The fourth proportional to 56.76, 85.11 and 22.51 is: 33.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.76 : 85.11 = 22.51 : x
  2. Step 2: Convert to fraction form
    56.76/85.11 = 22.51/x
  3. Step 3: Cross multiply
    56.76x = 85.11 × 22.51
  4. Step 4: Simplify right side
    56.76x = 1,915.98
  5. Step 5: Solve for x
    x = 1,915.98/56.76
  6. Step 6: Final answer
    x = 33.75

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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.