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Finding the Fourth Proportional to 56.67, 84.93 and 26.23

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Solution

The fourth proportional to 56.67, 84.93 and 26.23 is: 39.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.67 : 84.93 = 26.23 : x
  2. Step 2: Convert to fraction form
    56.67/84.93 = 26.23/x
  3. Step 3: Cross multiply
    56.67x = 84.93 × 26.23
  4. Step 4: Simplify right side
    56.67x = 2,227.71
  5. Step 5: Solve for x
    x = 2,227.71/56.67
  6. Step 6: Final answer
    x = 39.31

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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.