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Finding the Fourth Proportional to 431.32, 646.78 and 157.22

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Solution

The fourth proportional to 431.32, 646.78 and 157.22 is: 235.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.32 : 646.78 = 157.22 : x
  2. Step 2: Convert to fraction form
    431.32/646.78 = 157.22/x
  3. Step 3: Cross multiply
    431.32x = 646.78 × 157.22
  4. Step 4: Simplify right side
    431.32x = 101,686.75
  5. Step 5: Solve for x
    x = 101,686.75/431.32
  6. Step 6: Final answer
    x = 235.76

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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.