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Finding the Fourth Proportional to 460.17, 689.63 and 196.41

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Solution

The fourth proportional to 460.17, 689.63 and 196.41 is: 294.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.17 : 689.63 = 196.41 : x
  2. Step 2: Convert to fraction form
    460.17/689.63 = 196.41/x
  3. Step 3: Cross multiply
    460.17x = 689.63 × 196.41
  4. Step 4: Simplify right side
    460.17x = 135,450.23
  5. Step 5: Solve for x
    x = 135,450.23/460.17
  6. Step 6: Final answer
    x = 294.35

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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.