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Finding the Fourth Proportional to 342.97, 514.48 and 96.21

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Solution

The fourth proportional to 342.97, 514.48 and 96.21 is: 144.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.97 : 514.48 = 96.21 : x
  2. Step 2: Convert to fraction form
    342.97/514.48 = 96.21/x
  3. Step 3: Cross multiply
    342.97x = 514.48 × 96.21
  4. Step 4: Simplify right side
    342.97x = 49,498.12
  5. Step 5: Solve for x
    x = 49,498.12/342.97
  6. Step 6: Final answer
    x = 144.32

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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.