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Finding the Fourth Proportional to 152.62, 211.52 and 149.74

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Solution

The fourth proportional to 152.62, 211.52 and 149.74 is: 207.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.62 : 211.52 = 149.74 : x
  2. Step 2: Convert to fraction form
    152.62/211.52 = 149.74/x
  3. Step 3: Cross multiply
    152.62x = 211.52 × 149.74
  4. Step 4: Simplify right side
    152.62x = 31,673.00
  5. Step 5: Solve for x
    x = 31,673.00/152.62
  6. Step 6: Final answer
    x = 207.53

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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.