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Finding the Fourth Proportional to 152.92, 211.90 and 149.68

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Solution

The fourth proportional to 152.92, 211.90 and 149.68 is: 207.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.92 : 211.90 = 149.68 : x
  2. Step 2: Convert to fraction form
    152.92/211.90 = 149.68/x
  3. Step 3: Cross multiply
    152.92x = 211.90 × 149.68
  4. Step 4: Simplify right side
    152.92x = 31,717.19
  5. Step 5: Solve for x
    x = 31,717.19/152.92
  6. Step 6: Final answer
    x = 207.41

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.