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Finding the Fourth Proportional to 205.87, 308.54 and 151.51

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Solution

The fourth proportional to 205.87, 308.54 and 151.51 is: 227.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.87 : 308.54 = 151.51 : x
  2. Step 2: Convert to fraction form
    205.87/308.54 = 151.51/x
  3. Step 3: Cross multiply
    205.87x = 308.54 × 151.51
  4. Step 4: Simplify right side
    205.87x = 46,746.14
  5. Step 5: Solve for x
    x = 46,746.14/205.87
  6. Step 6: Final answer
    x = 227.07

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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.