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Finding the Fourth Proportional to 232.19, 320.44 and 154.51

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Solution

The fourth proportional to 232.19, 320.44 and 154.51 is: 213.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.19 : 320.44 = 154.51 : x
  2. Step 2: Convert to fraction form
    232.19/320.44 = 154.51/x
  3. Step 3: Cross multiply
    232.19x = 320.44 × 154.51
  4. Step 4: Simplify right side
    232.19x = 49,510.41
  5. Step 5: Solve for x
    x = 49,510.41/232.19
  6. Step 6: Final answer
    x = 213.23

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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.