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Finding the Fourth Proportional to 460.19, 690.20 and 131.15

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Solution

The fourth proportional to 460.19, 690.20 and 131.15 is: 196.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.19 : 690.20 = 131.15 : x
  2. Step 2: Convert to fraction form
    460.19/690.20 = 131.15/x
  3. Step 3: Cross multiply
    460.19x = 690.20 × 131.15
  4. Step 4: Simplify right side
    460.19x = 90,519.73
  5. Step 5: Solve for x
    x = 90,519.73/460.19
  6. Step 6: Final answer
    x = 196.70

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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.