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Finding the Fourth Proportional to 700.10, 1,049.79 and 213.10

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Solution

The fourth proportional to 700.10, 1,049.79 and 213.10 is: 319.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.10 : 1,049.79 = 213.10 : x
  2. Step 2: Convert to fraction form
    700.10/1,049.79 = 213.10/x
  3. Step 3: Cross multiply
    700.10x = 1,049.79 × 213.10
  4. Step 4: Simplify right side
    700.10x = 223,710.25
  5. Step 5: Solve for x
    x = 223,710.25/700.10
  6. Step 6: Final answer
    x = 319.54

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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.