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Finding the Fourth Proportional to 313.62, 469.90 and 209.28

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Solution

The fourth proportional to 313.62, 469.90 and 209.28 is: 313.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.62 : 469.90 = 209.28 : x
  2. Step 2: Convert to fraction form
    313.62/469.90 = 209.28/x
  3. Step 3: Cross multiply
    313.62x = 469.90 × 209.28
  4. Step 4: Simplify right side
    313.62x = 98,342.70
  5. Step 5: Solve for x
    x = 98,342.70/313.62
  6. Step 6: Final answer
    x = 313.57

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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.