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Finding the Fourth Proportional to 151.94, 228.33 and 121.82

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Solution

The fourth proportional to 151.94, 228.33 and 121.82 is: 183.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.94 : 228.33 = 121.82 : x
  2. Step 2: Convert to fraction form
    151.94/228.33 = 121.82/x
  3. Step 3: Cross multiply
    151.94x = 228.33 × 121.82
  4. Step 4: Simplify right side
    151.94x = 27,815.16
  5. Step 5: Solve for x
    x = 27,815.16/151.94
  6. Step 6: Final answer
    x = 183.07

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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.