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Finding the Fourth Proportional to 233.04, 321.30 and 191.10

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Solution

The fourth proportional to 233.04, 321.30 and 191.10 is: 263.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.04 : 321.30 = 191.10 : x
  2. Step 2: Convert to fraction form
    233.04/321.30 = 191.10/x
  3. Step 3: Cross multiply
    233.04x = 321.30 × 191.10
  4. Step 4: Simplify right side
    233.04x = 61,400.43
  5. Step 5: Solve for x
    x = 61,400.43/233.04
  6. Step 6: Final answer
    x = 263.48

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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.