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Finding the Fourth Proportional to 311.98, 430.49 and 172.07

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Solution

The fourth proportional to 311.98, 430.49 and 172.07 is: 237.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.98 : 430.49 = 172.07 : x
  2. Step 2: Convert to fraction form
    311.98/430.49 = 172.07/x
  3. Step 3: Cross multiply
    311.98x = 430.49 × 172.07
  4. Step 4: Simplify right side
    311.98x = 74,076.24
  5. Step 5: Solve for x
    x = 74,076.24/311.98
  6. Step 6: Final answer
    x = 237.44

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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.