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Finding the Fourth Proportional to 390.46, 581.80 and 347.38

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Solution

The fourth proportional to 390.46, 581.80 and 347.38 is: 517.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.46 : 581.80 = 347.38 : x
  2. Step 2: Convert to fraction form
    390.46/581.80 = 347.38/x
  3. Step 3: Cross multiply
    390.46x = 581.80 × 347.38
  4. Step 4: Simplify right side
    390.46x = 202,105.68
  5. Step 5: Solve for x
    x = 202,105.68/390.46
  6. Step 6: Final answer
    x = 517.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.