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Finding the Fourth Proportional to 460.99, 691.29 and 217.36

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Solution

The fourth proportional to 460.99, 691.29 and 217.36 is: 325.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.99 : 691.29 = 217.36 : x
  2. Step 2: Convert to fraction form
    460.99/691.29 = 217.36/x
  3. Step 3: Cross multiply
    460.99x = 691.29 × 217.36
  4. Step 4: Simplify right side
    460.99x = 150,258.79
  5. Step 5: Solve for x
    x = 150,258.79/460.99
  6. Step 6: Final answer
    x = 325.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.