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Finding the Fourth Proportional to 312.24, 430.72 and 194.13

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Solution

The fourth proportional to 312.24, 430.72 and 194.13 is: 267.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.24 : 430.72 = 194.13 : x
  2. Step 2: Convert to fraction form
    312.24/430.72 = 194.13/x
  3. Step 3: Cross multiply
    312.24x = 430.72 × 194.13
  4. Step 4: Simplify right side
    312.24x = 83,615.19
  5. Step 5: Solve for x
    x = 83,615.19/312.24
  6. Step 6: Final answer
    x = 267.79

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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.