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Finding the Fourth Proportional to 342.89, 514.14 and 234.71

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Solution

The fourth proportional to 342.89, 514.14 and 234.71 is: 351.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.89 : 514.14 = 234.71 : x
  2. Step 2: Convert to fraction form
    342.89/514.14 = 234.71/x
  3. Step 3: Cross multiply
    342.89x = 514.14 × 234.71
  4. Step 4: Simplify right side
    342.89x = 120,671.23
  5. Step 5: Solve for x
    x = 120,671.23/342.89
  6. Step 6: Final answer
    x = 351.93

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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.