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Finding the Fourth Proportional to 176.04, 262.17 and 171.18

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Solution

The fourth proportional to 176.04, 262.17 and 171.18 is: 254.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.04 : 262.17 = 171.18 : x
  2. Step 2: Convert to fraction form
    176.04/262.17 = 171.18/x
  3. Step 3: Cross multiply
    176.04x = 262.17 × 171.18
  4. Step 4: Simplify right side
    176.04x = 44,878.26
  5. Step 5: Solve for x
    x = 44,878.26/176.04
  6. Step 6: Final answer
    x = 254.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.