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Finding the Fourth Proportional to 460.08, 690.24 and 216.56

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Solution

The fourth proportional to 460.08, 690.24 and 216.56 is: 324.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.08 : 690.24 = 216.56 : x
  2. Step 2: Convert to fraction form
    460.08/690.24 = 216.56/x
  3. Step 3: Cross multiply
    460.08x = 690.24 × 216.56
  4. Step 4: Simplify right side
    460.08x = 149,478.37
  5. Step 5: Solve for x
    x = 149,478.37/460.08
  6. Step 6: Final answer
    x = 324.90

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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.