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Finding the Fourth Proportional to 270.16, 402.94 and 229.30

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Solution

The fourth proportional to 270.16, 402.94 and 229.30 is: 342.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.16 : 402.94 = 229.30 : x
  2. Step 2: Convert to fraction form
    270.16/402.94 = 229.30/x
  3. Step 3: Cross multiply
    270.16x = 402.94 × 229.30
  4. Step 4: Simplify right side
    270.16x = 92,394.14
  5. Step 5: Solve for x
    x = 92,394.14/270.16
  6. Step 6: Final answer
    x = 342.00

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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.