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Finding the Fourth Proportional to 363.69, 543.45 and 247.16

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Solution

The fourth proportional to 363.69, 543.45 and 247.16 is: 369.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.69 : 543.45 = 247.16 : x
  2. Step 2: Convert to fraction form
    363.69/543.45 = 247.16/x
  3. Step 3: Cross multiply
    363.69x = 543.45 × 247.16
  4. Step 4: Simplify right side
    363.69x = 134,316.38
  5. Step 5: Solve for x
    x = 134,316.38/363.69
  6. Step 6: Final answer
    x = 369.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.