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Finding the Fourth Proportional to 312.24, 430.80 and 194.22

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Solution

The fourth proportional to 312.24, 430.80 and 194.22 is: 267.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.24 : 430.80 = 194.22 : x
  2. Step 2: Convert to fraction form
    312.24/430.80 = 194.22/x
  3. Step 3: Cross multiply
    312.24x = 430.80 × 194.22
  4. Step 4: Simplify right side
    312.24x = 83,669.98
  5. Step 5: Solve for x
    x = 83,669.98/312.24
  6. Step 6: Final answer
    x = 267.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.