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Finding the Fourth Proportional to 229.08, 342.90 and 130.12

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Solution

The fourth proportional to 229.08, 342.90 and 130.12 is: 194.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.08 : 342.90 = 130.12 : x
  2. Step 2: Convert to fraction form
    229.08/342.90 = 130.12/x
  3. Step 3: Cross multiply
    229.08x = 342.90 × 130.12
  4. Step 4: Simplify right side
    229.08x = 44,618.15
  5. Step 5: Solve for x
    x = 44,618.15/229.08
  6. Step 6: Final answer
    x = 194.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.