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Finding the Fourth Proportional to 154.37, 232.93 and 153.16

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Solution

The fourth proportional to 154.37, 232.93 and 153.16 is: 231.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.37 : 232.93 = 153.16 : x
  2. Step 2: Convert to fraction form
    154.37/232.93 = 153.16/x
  3. Step 3: Cross multiply
    154.37x = 232.93 × 153.16
  4. Step 4: Simplify right side
    154.37x = 35,674.31
  5. Step 5: Solve for x
    x = 35,674.31/154.37
  6. Step 6: Final answer
    x = 231.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.