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Finding the Fourth Proportional to 170.98, 257.39 and 156.10

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Solution

The fourth proportional to 170.98, 257.39 and 156.10 is: 234.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.98 : 257.39 = 156.10 : x
  2. Step 2: Convert to fraction form
    170.98/257.39 = 156.10/x
  3. Step 3: Cross multiply
    170.98x = 257.39 × 156.10
  4. Step 4: Simplify right side
    170.98x = 40,178.58
  5. Step 5: Solve for x
    x = 40,178.58/170.98
  6. Step 6: Final answer
    x = 234.99

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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.