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Finding the Fourth Proportional to 216.20, 322.71 and 187.51

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Solution

The fourth proportional to 216.20, 322.71 and 187.51 is: 279.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.20 : 322.71 = 187.51 : x
  2. Step 2: Convert to fraction form
    216.20/322.71 = 187.51/x
  3. Step 3: Cross multiply
    216.20x = 322.71 × 187.51
  4. Step 4: Simplify right side
    216.20x = 60,511.25
  5. Step 5: Solve for x
    x = 60,511.25/216.20
  6. Step 6: Final answer
    x = 279.89

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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.