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Finding the Fourth Proportional to 311.90, 430.42 and 172.01

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Solution

The fourth proportional to 311.90, 430.42 and 172.01 is: 237.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.90 : 430.42 = 172.01 : x
  2. Step 2: Convert to fraction form
    311.90/430.42 = 172.01/x
  3. Step 3: Cross multiply
    311.90x = 430.42 × 172.01
  4. Step 4: Simplify right side
    311.90x = 74,036.54
  5. Step 5: Solve for x
    x = 74,036.54/311.90
  6. Step 6: Final answer
    x = 237.37

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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.