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Finding the Fourth Proportional to 205.40, 309.29 and 151.40

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Solution

The fourth proportional to 205.40, 309.29 and 151.40 is: 227.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.40 : 309.29 = 151.40 : x
  2. Step 2: Convert to fraction form
    205.40/309.29 = 151.40/x
  3. Step 3: Cross multiply
    205.40x = 309.29 × 151.40
  4. Step 4: Simplify right side
    205.40x = 46,826.51
  5. Step 5: Solve for x
    x = 46,826.51/205.40
  6. Step 6: Final answer
    x = 227.98

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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.