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Finding the Fourth Proportional to 632.17, 948.26 and 170.02

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Solution

The fourth proportional to 632.17, 948.26 and 170.02 is: 255.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.17 : 948.26 = 170.02 : x
  2. Step 2: Convert to fraction form
    632.17/948.26 = 170.02/x
  3. Step 3: Cross multiply
    632.17x = 948.26 × 170.02
  4. Step 4: Simplify right side
    632.17x = 161,218.49
  5. Step 5: Solve for x
    x = 161,218.49/632.17
  6. Step 6: Final answer
    x = 255.02

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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.