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Finding the Fourth Proportional to 233.40, 322.17 and 213.60

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Solution

The fourth proportional to 233.40, 322.17 and 213.60 is: 294.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.40 : 322.17 = 213.60 : x
  2. Step 2: Convert to fraction form
    233.40/322.17 = 213.60/x
  3. Step 3: Cross multiply
    233.40x = 322.17 × 213.60
  4. Step 4: Simplify right side
    233.40x = 68,815.51
  5. Step 5: Solve for x
    x = 68,815.51/233.40
  6. Step 6: Final answer
    x = 294.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.