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Finding the Fourth Proportional to 343.27, 514.84 and 148.16

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Solution

The fourth proportional to 343.27, 514.84 and 148.16 is: 222.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.27 : 514.84 = 148.16 : x
  2. Step 2: Convert to fraction form
    343.27/514.84 = 148.16/x
  3. Step 3: Cross multiply
    343.27x = 514.84 × 148.16
  4. Step 4: Simplify right side
    343.27x = 76,278.69
  5. Step 5: Solve for x
    x = 76,278.69/343.27
  6. Step 6: Final answer
    x = 222.21

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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.