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Finding the Fourth Proportional to 218.04, 325.61 and 190.71

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Solution

The fourth proportional to 218.04, 325.61 and 190.71 is: 284.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.04 : 325.61 = 190.71 : x
  2. Step 2: Convert to fraction form
    218.04/325.61 = 190.71/x
  3. Step 3: Cross multiply
    218.04x = 325.61 × 190.71
  4. Step 4: Simplify right side
    218.04x = 62,096.13
  5. Step 5: Solve for x
    x = 62,096.13/218.04
  6. Step 6: Final answer
    x = 284.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.