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Finding the Fourth Proportional to 185.77, 279.73 and 153.58

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Solution

The fourth proportional to 185.77, 279.73 and 153.58 is: 231.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.77 : 279.73 = 153.58 : x
  2. Step 2: Convert to fraction form
    185.77/279.73 = 153.58/x
  3. Step 3: Cross multiply
    185.77x = 279.73 × 153.58
  4. Step 4: Simplify right side
    185.77x = 42,960.93
  5. Step 5: Solve for x
    x = 42,960.93/185.77
  6. Step 6: Final answer
    x = 231.26

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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.