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Finding the Fourth Proportional to 342.04, 514.37 and 272.79

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Solution

The fourth proportional to 342.04, 514.37 and 272.79 is: 410.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.04 : 514.37 = 272.79 : x
  2. Step 2: Convert to fraction form
    342.04/514.37 = 272.79/x
  3. Step 3: Cross multiply
    342.04x = 514.37 × 272.79
  4. Step 4: Simplify right side
    342.04x = 140,314.99
  5. Step 5: Solve for x
    x = 140,314.99/342.04
  6. Step 6: Final answer
    x = 410.23

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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.