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Finding the Fourth Proportional to 790.32, 1,185.51 and 213.18

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Solution

The fourth proportional to 790.32, 1,185.51 and 213.18 is: 319.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.32 : 1,185.51 = 213.18 : x
  2. Step 2: Convert to fraction form
    790.32/1,185.51 = 213.18/x
  3. Step 3: Cross multiply
    790.32x = 1,185.51 × 213.18
  4. Step 4: Simplify right side
    790.32x = 252,727.02
  5. Step 5: Solve for x
    x = 252,727.02/790.32
  6. Step 6: Final answer
    x = 319.78

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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.