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Finding the Fourth Proportional to 193.10, 266.76 and 176.72

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Solution

The fourth proportional to 193.10, 266.76 and 176.72 is: 244.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.10 : 266.76 = 176.72 : x
  2. Step 2: Convert to fraction form
    193.10/266.76 = 176.72/x
  3. Step 3: Cross multiply
    193.10x = 266.76 × 176.72
  4. Step 4: Simplify right side
    193.10x = 47,140.49
  5. Step 5: Solve for x
    x = 47,140.49/193.10
  6. Step 6: Final answer
    x = 244.13

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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.