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Finding the Fourth Proportional to 233.17, 321.62 and 159.37

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Solution

The fourth proportional to 233.17, 321.62 and 159.37 is: 219.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.17 : 321.62 = 159.37 : x
  2. Step 2: Convert to fraction form
    233.17/321.62 = 159.37/x
  3. Step 3: Cross multiply
    233.17x = 321.62 × 159.37
  4. Step 4: Simplify right side
    233.17x = 51,254.98
  5. Step 5: Solve for x
    x = 51,254.98/233.17
  6. Step 6: Final answer
    x = 219.82

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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.