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Finding the Fourth Proportional to 342.72, 513.15 and 177.84

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Solution

The fourth proportional to 342.72, 513.15 and 177.84 is: 266.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.72 : 513.15 = 177.84 : x
  2. Step 2: Convert to fraction form
    342.72/513.15 = 177.84/x
  3. Step 3: Cross multiply
    342.72x = 513.15 × 177.84
  4. Step 4: Simplify right side
    342.72x = 91,258.60
  5. Step 5: Solve for x
    x = 91,258.60/342.72
  6. Step 6: Final answer
    x = 266.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.