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Finding the Fourth Proportional to 469.33, 703.97 and 209.17

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Solution

The fourth proportional to 469.33, 703.97 and 209.17 is: 313.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.33 : 703.97 = 209.17 : x
  2. Step 2: Convert to fraction form
    469.33/703.97 = 209.17/x
  3. Step 3: Cross multiply
    469.33x = 703.97 × 209.17
  4. Step 4: Simplify right side
    469.33x = 147,249.40
  5. Step 5: Solve for x
    x = 147,249.40/469.33
  6. Step 6: Final answer
    x = 313.74

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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.