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Finding the Fourth Proportional to 270.32, 403.36 and 242.96

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Solution

The fourth proportional to 270.32, 403.36 and 242.96 is: 362.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.32 : 403.36 = 242.96 : x
  2. Step 2: Convert to fraction form
    270.32/403.36 = 242.96/x
  3. Step 3: Cross multiply
    270.32x = 403.36 × 242.96
  4. Step 4: Simplify right side
    270.32x = 98,000.35
  5. Step 5: Solve for x
    x = 98,000.35/270.32
  6. Step 6: Final answer
    x = 362.53

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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.