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Finding the Fourth Proportional to 460.45, 690.36 and 217

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Solution

The fourth proportional to 460.45, 690.36 and 217 is: 325.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.45 : 690.36 = 217 : x
  2. Step 2: Convert to fraction form
    460.45/690.36 = 217/x
  3. Step 3: Cross multiply
    460.45x = 690.36 × 217
  4. Step 4: Simplify right side
    460.45x = 149,808.12
  5. Step 5: Solve for x
    x = 149,808.12/460.45
  6. Step 6: Final answer
    x = 325.35

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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.