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Finding the Fourth Proportional to 431.20, 646.26 and 238.24

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Solution

The fourth proportional to 431.20, 646.26 and 238.24 is: 357.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.20 : 646.26 = 238.24 : x
  2. Step 2: Convert to fraction form
    431.20/646.26 = 238.24/x
  3. Step 3: Cross multiply
    431.20x = 646.26 × 238.24
  4. Step 4: Simplify right side
    431.20x = 153,964.98
  5. Step 5: Solve for x
    x = 153,964.98/431.20
  6. Step 6: Final answer
    x = 357.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.