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Finding the Fourth Proportional to 342.65, 513.97 and 291.21

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Solution

The fourth proportional to 342.65, 513.97 and 291.21 is: 436.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.65 : 513.97 = 291.21 : x
  2. Step 2: Convert to fraction form
    342.65/513.97 = 291.21/x
  3. Step 3: Cross multiply
    342.65x = 513.97 × 291.21
  4. Step 4: Simplify right side
    342.65x = 149,672.48
  5. Step 5: Solve for x
    x = 149,672.48/342.65
  6. Step 6: Final answer
    x = 436.82

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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.