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Finding the Fourth Proportional to 431.16, 646.06 and 268.60

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Solution

The fourth proportional to 431.16, 646.06 and 268.60 is: 402.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.16 : 646.06 = 268.60 : x
  2. Step 2: Convert to fraction form
    431.16/646.06 = 268.60/x
  3. Step 3: Cross multiply
    431.16x = 646.06 × 268.60
  4. Step 4: Simplify right side
    431.16x = 173,531.72
  5. Step 5: Solve for x
    x = 173,531.72/431.16
  6. Step 6: Final answer
    x = 402.48

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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.