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Finding the Fourth Proportional to 495.55, 743.15 and 170.84

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Solution

The fourth proportional to 495.55, 743.15 and 170.84 is: 256.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.55 : 743.15 = 170.84 : x
  2. Step 2: Convert to fraction form
    495.55/743.15 = 170.84/x
  3. Step 3: Cross multiply
    495.55x = 743.15 × 170.84
  4. Step 4: Simplify right side
    495.55x = 126,959.75
  5. Step 5: Solve for x
    x = 126,959.75/495.55
  6. Step 6: Final answer
    x = 256.20

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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.