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Finding the Fourth Proportional to 153.84, 229.86 and 123.09

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Solution

The fourth proportional to 153.84, 229.86 and 123.09 is: 183.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.84 : 229.86 = 123.09 : x
  2. Step 2: Convert to fraction form
    153.84/229.86 = 123.09/x
  3. Step 3: Cross multiply
    153.84x = 229.86 × 123.09
  4. Step 4: Simplify right side
    153.84x = 28,293.47
  5. Step 5: Solve for x
    x = 28,293.47/153.84
  6. Step 6: Final answer
    x = 183.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.