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Finding the Fourth Proportional to 347.01, 520.61 and 209.81

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Solution

The fourth proportional to 347.01, 520.61 and 209.81 is: 314.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.01 : 520.61 = 209.81 : x
  2. Step 2: Convert to fraction form
    347.01/520.61 = 209.81/x
  3. Step 3: Cross multiply
    347.01x = 520.61 × 209.81
  4. Step 4: Simplify right side
    347.01x = 109,225.53
  5. Step 5: Solve for x
    x = 109,225.53/347.01
  6. Step 6: Final answer
    x = 314.76

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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.