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Finding the Fourth Proportional to 312.08, 469.88 and 216.50

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Solution

The fourth proportional to 312.08, 469.88 and 216.50 is: 325.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.08 : 469.88 = 216.50 : x
  2. Step 2: Convert to fraction form
    312.08/469.88 = 216.50/x
  3. Step 3: Cross multiply
    312.08x = 469.88 × 216.50
  4. Step 4: Simplify right side
    312.08x = 101,729.02
  5. Step 5: Solve for x
    x = 101,729.02/312.08
  6. Step 6: Final answer
    x = 325.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.