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Finding the Fourth Proportional to 233.88, 322.02 and 192.30

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Solution

The fourth proportional to 233.88, 322.02 and 192.30 is: 264.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.88 : 322.02 = 192.30 : x
  2. Step 2: Convert to fraction form
    233.88/322.02 = 192.30/x
  3. Step 3: Cross multiply
    233.88x = 322.02 × 192.30
  4. Step 4: Simplify right side
    233.88x = 61,924.45
  5. Step 5: Solve for x
    x = 61,924.45/233.88
  6. Step 6: Final answer
    x = 264.77

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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.