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Finding the Fourth Proportional to 342.65, 513.69 and 150.41

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Solution

The fourth proportional to 342.65, 513.69 and 150.41 is: 225.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.65 : 513.69 = 150.41 : x
  2. Step 2: Convert to fraction form
    342.65/513.69 = 150.41/x
  3. Step 3: Cross multiply
    342.65x = 513.69 × 150.41
  4. Step 4: Simplify right side
    342.65x = 77,264.11
  5. Step 5: Solve for x
    x = 77,264.11/342.65
  6. Step 6: Final answer
    x = 225.49

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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.