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Finding the Fourth Proportional to 170.81, 256.16 and 89.61

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Solution

The fourth proportional to 170.81, 256.16 and 89.61 is: 134.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.81 : 256.16 = 89.61 : x
  2. Step 2: Convert to fraction form
    170.81/256.16 = 89.61/x
  3. Step 3: Cross multiply
    170.81x = 256.16 × 89.61
  4. Step 4: Simplify right side
    170.81x = 22,953.76
  5. Step 5: Solve for x
    x = 22,953.76/170.81
  6. Step 6: Final answer
    x = 134.38

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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.