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Finding the Fourth Proportional to 205.59, 309.59 and 151.86

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Solution

The fourth proportional to 205.59, 309.59 and 151.86 is: 228.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.59 : 309.59 = 151.86 : x
  2. Step 2: Convert to fraction form
    205.59/309.59 = 151.86/x
  3. Step 3: Cross multiply
    205.59x = 309.59 × 151.86
  4. Step 4: Simplify right side
    205.59x = 47,013.58
  5. Step 5: Solve for x
    x = 47,013.58/205.59
  6. Step 6: Final answer
    x = 228.68

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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.