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Finding the Fourth Proportional to 218.07, 327.08 and 64.01

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Solution

The fourth proportional to 218.07, 327.08 and 64.01 is: 96.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.07 : 327.08 = 64.01 : x
  2. Step 2: Convert to fraction form
    218.07/327.08 = 64.01/x
  3. Step 3: Cross multiply
    218.07x = 327.08 × 64.01
  4. Step 4: Simplify right side
    218.07x = 20,937.37
  5. Step 5: Solve for x
    x = 20,937.37/218.07
  6. Step 6: Final answer
    x = 96.01

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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.