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Finding the Fourth Proportional to 620.35, 930.51 and 151.82

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Solution

The fourth proportional to 620.35, 930.51 and 151.82 is: 227.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.35 : 930.51 = 151.82 : x
  2. Step 2: Convert to fraction form
    620.35/930.51 = 151.82/x
  3. Step 3: Cross multiply
    620.35x = 930.51 × 151.82
  4. Step 4: Simplify right side
    620.35x = 141,270.03
  5. Step 5: Solve for x
    x = 141,270.03/620.35
  6. Step 6: Final answer
    x = 227.73

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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.