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Finding the Fourth Proportional to 581.16, 871.71 and 170.29

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Solution

The fourth proportional to 581.16, 871.71 and 170.29 is: 255.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.16 : 871.71 = 170.29 : x
  2. Step 2: Convert to fraction form
    581.16/871.71 = 170.29/x
  3. Step 3: Cross multiply
    581.16x = 871.71 × 170.29
  4. Step 4: Simplify right side
    581.16x = 148,443.50
  5. Step 5: Solve for x
    x = 148,443.50/581.16
  6. Step 6: Final answer
    x = 255.43

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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.