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Finding the Fourth Proportional to 176.78, 242.50 and 166.30

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Solution

The fourth proportional to 176.78, 242.50 and 166.30 is: 228.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.78 : 242.50 = 166.30 : x
  2. Step 2: Convert to fraction form
    176.78/242.50 = 166.30/x
  3. Step 3: Cross multiply
    176.78x = 242.50 × 166.30
  4. Step 4: Simplify right side
    176.78x = 40,327.75
  5. Step 5: Solve for x
    x = 40,327.75/176.78
  6. Step 6: Final answer
    x = 228.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.