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Finding the Fourth Proportional to 469.56, 703.86 and 213.24

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Solution

The fourth proportional to 469.56, 703.86 and 213.24 is: 319.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.56 : 703.86 = 213.24 : x
  2. Step 2: Convert to fraction form
    469.56/703.86 = 213.24/x
  3. Step 3: Cross multiply
    469.56x = 703.86 × 213.24
  4. Step 4: Simplify right side
    469.56x = 150,091.11
  5. Step 5: Solve for x
    x = 150,091.11/469.56
  6. Step 6: Final answer
    x = 319.64

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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.