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Finding the Fourth Proportional to 170.06, 253.55 and 159.74

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Solution

The fourth proportional to 170.06, 253.55 and 159.74 is: 238.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.06 : 253.55 = 159.74 : x
  2. Step 2: Convert to fraction form
    170.06/253.55 = 159.74/x
  3. Step 3: Cross multiply
    170.06x = 253.55 × 159.74
  4. Step 4: Simplify right side
    170.06x = 40,500.31
  5. Step 5: Solve for x
    x = 40,500.31/170.06
  6. Step 6: Final answer
    x = 238.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.