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Finding the Fourth Proportional to 342.88, 515.04 and 180.52

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Solution

The fourth proportional to 342.88, 515.04 and 180.52 is: 271.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.88 : 515.04 = 180.52 : x
  2. Step 2: Convert to fraction form
    342.88/515.04 = 180.52/x
  3. Step 3: Cross multiply
    342.88x = 515.04 × 180.52
  4. Step 4: Simplify right side
    342.88x = 92,975.02
  5. Step 5: Solve for x
    x = 92,975.02/342.88
  6. Step 6: Final answer
    x = 271.16

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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.