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Finding the Fourth Proportional to 177.40, 245.01 and 168.76

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Solution

The fourth proportional to 177.40, 245.01 and 168.76 is: 233.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.40 : 245.01 = 168.76 : x
  2. Step 2: Convert to fraction form
    177.40/245.01 = 168.76/x
  3. Step 3: Cross multiply
    177.40x = 245.01 × 168.76
  4. Step 4: Simplify right side
    177.40x = 41,347.89
  5. Step 5: Solve for x
    x = 41,347.89/177.40
  6. Step 6: Final answer
    x = 233.08

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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.