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Finding the Fourth Proportional to 233.02, 320.12 and 191.44

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Solution

The fourth proportional to 233.02, 320.12 and 191.44 is: 263.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.02 : 320.12 = 191.44 : x
  2. Step 2: Convert to fraction form
    233.02/320.12 = 191.44/x
  3. Step 3: Cross multiply
    233.02x = 320.12 × 191.44
  4. Step 4: Simplify right side
    233.02x = 61,283.77
  5. Step 5: Solve for x
    x = 61,283.77/233.02
  6. Step 6: Final answer
    x = 263.00

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.