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Finding the Fourth Proportional to 431.08, 646.41 and 157.13

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Solution

The fourth proportional to 431.08, 646.41 and 157.13 is: 235.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.08 : 646.41 = 157.13 : x
  2. Step 2: Convert to fraction form
    431.08/646.41 = 157.13/x
  3. Step 3: Cross multiply
    431.08x = 646.41 × 157.13
  4. Step 4: Simplify right side
    431.08x = 101,570.40
  5. Step 5: Solve for x
    x = 101,570.40/431.08
  6. Step 6: Final answer
    x = 235.62

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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.