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Finding the Fourth Proportional to 169.51, 254.21 and 47.78

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Solution

The fourth proportional to 169.51, 254.21 and 47.78 is: 71.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.51 : 254.21 = 47.78 : x
  2. Step 2: Convert to fraction form
    169.51/254.21 = 47.78/x
  3. Step 3: Cross multiply
    169.51x = 254.21 × 47.78
  4. Step 4: Simplify right side
    169.51x = 12,144.64
  5. Step 5: Solve for x
    x = 12,144.64/169.51
  6. Step 6: Final answer
    x = 71.65

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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.