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Finding the Fourth Proportional to 218.10, 325.47 and 187.68

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Solution

The fourth proportional to 218.10, 325.47 and 187.68 is: 280.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.10 : 325.47 = 187.68 : x
  2. Step 2: Convert to fraction form
    218.10/325.47 = 187.68/x
  3. Step 3: Cross multiply
    218.10x = 325.47 × 187.68
  4. Step 4: Simplify right side
    218.10x = 61,084.21
  5. Step 5: Solve for x
    x = 61,084.21/218.10
  6. Step 6: Final answer
    x = 280.07

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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.