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Finding the Fourth Proportional to 790.96, 1,186.40 and 243.16

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Solution

The fourth proportional to 790.96, 1,186.40 and 243.16 is: 364.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.96 : 1,186.40 = 243.16 : x
  2. Step 2: Convert to fraction form
    790.96/1,186.40 = 243.16/x
  3. Step 3: Cross multiply
    790.96x = 1,186.40 × 243.16
  4. Step 4: Simplify right side
    790.96x = 288,485.02
  5. Step 5: Solve for x
    x = 288,485.02/790.96
  6. Step 6: Final answer
    x = 364.73

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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.