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Finding the Fourth Proportional to 216, 322.38 and 191.34

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Solution

The fourth proportional to 216, 322.38 and 191.34 is: 285.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    216 : 322.38 = 191.34 : x
  2. Step 2: Convert to fraction form
    216/322.38 = 191.34/x
  3. Step 3: Cross multiply
    216x = 322.38 × 191.34
  4. Step 4: Simplify right side
    216x = 61,684.19
  5. Step 5: Solve for x
    x = 61,684.19/216
  6. Step 6: Final answer
    x = 285.57

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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.