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Finding the Fourth Proportional to 170.98, 256.51 and 49.25

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Solution

The fourth proportional to 170.98, 256.51 and 49.25 is: 73.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.98 : 256.51 = 49.25 : x
  2. Step 2: Convert to fraction form
    170.98/256.51 = 49.25/x
  3. Step 3: Cross multiply
    170.98x = 256.51 × 49.25
  4. Step 4: Simplify right side
    170.98x = 12,633.82
  5. Step 5: Solve for x
    x = 12,633.82/170.98
  6. Step 6: Final answer
    x = 73.89

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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.