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Finding the Fourth Proportional to 790.20, 1,185.12 and 242.38

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Solution

The fourth proportional to 790.20, 1,185.12 and 242.38 is: 363.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.20 : 1,185.12 = 242.38 : x
  2. Step 2: Convert to fraction form
    790.20/1,185.12 = 242.38/x
  3. Step 3: Cross multiply
    790.20x = 1,185.12 × 242.38
  4. Step 4: Simplify right side
    790.20x = 287,249.39
  5. Step 5: Solve for x
    x = 287,249.39/790.20
  6. Step 6: Final answer
    x = 363.51

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Double scale
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1.5x scale

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.