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Finding the Fourth Proportional to 233.53, 322.59 and 189.21

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Solution

The fourth proportional to 233.53, 322.59 and 189.21 is: 261.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.53 : 322.59 = 189.21 : x
  2. Step 2: Convert to fraction form
    233.53/322.59 = 189.21/x
  3. Step 3: Cross multiply
    233.53x = 322.59 × 189.21
  4. Step 4: Simplify right side
    233.53x = 61,037.25
  5. Step 5: Solve for x
    x = 61,037.25/233.53
  6. Step 6: Final answer
    x = 261.37

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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.