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Finding the Fourth Proportional to 152.89, 209.57 and 151.82

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Solution

The fourth proportional to 152.89, 209.57 and 151.82 is: 208.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.89 : 209.57 = 151.82 : x
  2. Step 2: Convert to fraction form
    152.89/209.57 = 151.82/x
  3. Step 3: Cross multiply
    152.89x = 209.57 × 151.82
  4. Step 4: Simplify right side
    152.89x = 31,817.93
  5. Step 5: Solve for x
    x = 31,817.93/152.89
  6. Step 6: Final answer
    x = 208.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.