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Finding the Fourth Proportional to 790.88, 1,186.38 and 213.75

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Solution

The fourth proportional to 790.88, 1,186.38 and 213.75 is: 320.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.88 : 1,186.38 = 213.75 : x
  2. Step 2: Convert to fraction form
    790.88/1,186.38 = 213.75/x
  3. Step 3: Cross multiply
    790.88x = 1,186.38 × 213.75
  4. Step 4: Simplify right side
    790.88x = 253,588.73
  5. Step 5: Solve for x
    x = 253,588.73/790.88
  6. Step 6: Final answer
    x = 320.64

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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.