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Finding the Fourth Proportional to 170.24, 256.40 and 143.36

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Solution

The fourth proportional to 170.24, 256.40 and 143.36 is: 215.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.24 : 256.40 = 143.36 : x
  2. Step 2: Convert to fraction form
    170.24/256.40 = 143.36/x
  3. Step 3: Cross multiply
    170.24x = 256.40 × 143.36
  4. Step 4: Simplify right side
    170.24x = 36,757.50
  5. Step 5: Solve for x
    x = 36,757.50/170.24
  6. Step 6: Final answer
    x = 215.92

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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.