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Finding the Fourth Proportional to 431.12, 646.68 and 157.26

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Solution

The fourth proportional to 431.12, 646.68 and 157.26 is: 235.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.12 : 646.68 = 157.26 : x
  2. Step 2: Convert to fraction form
    431.12/646.68 = 157.26/x
  3. Step 3: Cross multiply
    431.12x = 646.68 × 157.26
  4. Step 4: Simplify right side
    431.12x = 101,696.90
  5. Step 5: Solve for x
    x = 101,696.90/431.12
  6. Step 6: Final answer
    x = 235.89

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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.