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Finding the Fourth Proportional to 397.14, 592.26 and 348.66

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Solution

The fourth proportional to 397.14, 592.26 and 348.66 is: 519.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.14 : 592.26 = 348.66 : x
  2. Step 2: Convert to fraction form
    397.14/592.26 = 348.66/x
  3. Step 3: Cross multiply
    397.14x = 592.26 × 348.66
  4. Step 4: Simplify right side
    397.14x = 206,497.37
  5. Step 5: Solve for x
    x = 206,497.37/397.14
  6. Step 6: Final answer
    x = 519.96

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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.