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Finding the Fourth Proportional to 270.42, 403.68 and 243.12

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Solution

The fourth proportional to 270.42, 403.68 and 243.12 is: 362.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.42 : 403.68 = 243.12 : x
  2. Step 2: Convert to fraction form
    270.42/403.68 = 243.12/x
  3. Step 3: Cross multiply
    270.42x = 403.68 × 243.12
  4. Step 4: Simplify right side
    270.42x = 98,142.68
  5. Step 5: Solve for x
    x = 98,142.68/270.42
  6. Step 6: Final answer
    x = 362.93

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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.