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Finding the Fourth Proportional to 216.34, 322.95 and 189

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Solution

The fourth proportional to 216.34, 322.95 and 189 is: 282.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.34 : 322.95 = 189 : x
  2. Step 2: Convert to fraction form
    216.34/322.95 = 189/x
  3. Step 3: Cross multiply
    216.34x = 322.95 × 189
  4. Step 4: Simplify right side
    216.34x = 61,037.55
  5. Step 5: Solve for x
    x = 61,037.55/216.34
  6. Step 6: Final answer
    x = 282.14

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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.