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Finding the Fourth Proportional to 205.38, 307.80 and 153.81

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Solution

The fourth proportional to 205.38, 307.80 and 153.81 is: 230.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.38 : 307.80 = 153.81 : x
  2. Step 2: Convert to fraction form
    205.38/307.80 = 153.81/x
  3. Step 3: Cross multiply
    205.38x = 307.80 × 153.81
  4. Step 4: Simplify right side
    205.38x = 47,342.72
  5. Step 5: Solve for x
    x = 47,342.72/205.38
  6. Step 6: Final answer
    x = 230.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.