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Finding the Fourth Proportional to 469.20, 703.80 and 209.15

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Solution

The fourth proportional to 469.20, 703.80 and 209.15 is: 313.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.20 : 703.80 = 209.15 : x
  2. Step 2: Convert to fraction form
    469.20/703.80 = 209.15/x
  3. Step 3: Cross multiply
    469.20x = 703.80 × 209.15
  4. Step 4: Simplify right side
    469.20x = 147,196.25
  5. Step 5: Solve for x
    x = 147,196.25/469.20
  6. Step 6: Final answer
    x = 313.72

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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.