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Finding the Fourth Proportional to 213.79, 322.17 and 178.02

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Solution

The fourth proportional to 213.79, 322.17 and 178.02 is: 268.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.79 : 322.17 = 178.02 : x
  2. Step 2: Convert to fraction form
    213.79/322.17 = 178.02/x
  3. Step 3: Cross multiply
    213.79x = 322.17 × 178.02
  4. Step 4: Simplify right side
    213.79x = 57,352.70
  5. Step 5: Solve for x
    x = 57,352.70/213.79
  6. Step 6: Final answer
    x = 268.27

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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.