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Finding the Fourth Proportional to 700, 1,050.12 and 213.10

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Solution

The fourth proportional to 700, 1,050.12 and 213.10 is: 319.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    700 : 1,050.12 = 213.10 : x
  2. Step 2: Convert to fraction form
    700/1,050.12 = 213.10/x
  3. Step 3: Cross multiply
    700x = 1,050.12 × 213.10
  4. Step 4: Simplify right side
    700x = 223,780.57
  5. Step 5: Solve for x
    x = 223,780.57/700
  6. Step 6: Final answer
    x = 319.69

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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.