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Finding the Fourth Proportional to 312.56, 468.60 and 216.40

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Solution

The fourth proportional to 312.56, 468.60 and 216.40 is: 324.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.56 : 468.60 = 216.40 : x
  2. Step 2: Convert to fraction form
    312.56/468.60 = 216.40/x
  3. Step 3: Cross multiply
    312.56x = 468.60 × 216.40
  4. Step 4: Simplify right side
    312.56x = 101,405.04
  5. Step 5: Solve for x
    x = 101,405.04/312.56
  6. Step 6: Final answer
    x = 324.43

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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.