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Finding the Fourth Proportional to 270.16, 403.15 and 239.38

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Solution

The fourth proportional to 270.16, 403.15 and 239.38 is: 357.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.16 : 403.15 = 239.38 : x
  2. Step 2: Convert to fraction form
    270.16/403.15 = 239.38/x
  3. Step 3: Cross multiply
    270.16x = 403.15 × 239.38
  4. Step 4: Simplify right side
    270.16x = 96,506.05
  5. Step 5: Solve for x
    x = 96,506.05/270.16
  6. Step 6: Final answer
    x = 357.22

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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.