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Finding the Fourth Proportional to 176.80, 263.51 and 167.07

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Solution

The fourth proportional to 176.80, 263.51 and 167.07 is: 249.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.80 : 263.51 = 167.07 : x
  2. Step 2: Convert to fraction form
    176.80/263.51 = 167.07/x
  3. Step 3: Cross multiply
    176.80x = 263.51 × 167.07
  4. Step 4: Simplify right side
    176.80x = 44,024.62
  5. Step 5: Solve for x
    x = 44,024.62/176.80
  6. Step 6: Final answer
    x = 249.01

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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.