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Finding the Fourth Proportional to 341.46, 513.30 and 281.04

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Solution

The fourth proportional to 341.46, 513.30 and 281.04 is: 422.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.46 : 513.30 = 281.04 : x
  2. Step 2: Convert to fraction form
    341.46/513.30 = 281.04/x
  3. Step 3: Cross multiply
    341.46x = 513.30 × 281.04
  4. Step 4: Simplify right side
    341.46x = 144,257.83
  5. Step 5: Solve for x
    x = 144,257.83/341.46
  6. Step 6: Final answer
    x = 422.47

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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.