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Finding the Fourth Proportional to 347.07, 520.59 and 209.93

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Solution

The fourth proportional to 347.07, 520.59 and 209.93 is: 314.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.07 : 520.59 = 209.93 : x
  2. Step 2: Convert to fraction form
    347.07/520.59 = 209.93/x
  3. Step 3: Cross multiply
    347.07x = 520.59 × 209.93
  4. Step 4: Simplify right side
    347.07x = 109,286.95
  5. Step 5: Solve for x
    x = 109,286.95/347.07
  6. Step 6: Final answer
    x = 314.88

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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.