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Finding the Fourth Proportional to 313.76, 430.17 and 308.98

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Solution

The fourth proportional to 313.76, 430.17 and 308.98 is: 423.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.76 : 430.17 = 308.98 : x
  2. Step 2: Convert to fraction form
    313.76/430.17 = 308.98/x
  3. Step 3: Cross multiply
    313.76x = 430.17 × 308.98
  4. Step 4: Simplify right side
    313.76x = 132,913.93
  5. Step 5: Solve for x
    x = 132,913.93/313.76
  6. Step 6: Final answer
    x = 423.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.