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Finding the Fourth Proportional to 176.40, 242.87 and 167.29

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Solution

The fourth proportional to 176.40, 242.87 and 167.29 is: 230.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.40 : 242.87 = 167.29 : x
  2. Step 2: Convert to fraction form
    176.40/242.87 = 167.29/x
  3. Step 3: Cross multiply
    176.40x = 242.87 × 167.29
  4. Step 4: Simplify right side
    176.40x = 40,628.28
  5. Step 5: Solve for x
    x = 40,628.28/176.40
  6. Step 6: Final answer
    x = 230.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.