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Finding the Fourth Proportional to 177.04, 267.04 and 170.08

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Solution

The fourth proportional to 177.04, 267.04 and 170.08 is: 256.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.04 : 267.04 = 170.08 : x
  2. Step 2: Convert to fraction form
    177.04/267.04 = 170.08/x
  3. Step 3: Cross multiply
    177.04x = 267.04 × 170.08
  4. Step 4: Simplify right side
    177.04x = 45,418.16
  5. Step 5: Solve for x
    x = 45,418.16/177.04
  6. Step 6: Final answer
    x = 256.54

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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.