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Finding the Fourth Proportional to 150.59, 206.16 and 149.58

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Solution

The fourth proportional to 150.59, 206.16 and 149.58 is: 204.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.59 : 206.16 = 149.58 : x
  2. Step 2: Convert to fraction form
    150.59/206.16 = 149.58/x
  3. Step 3: Cross multiply
    150.59x = 206.16 × 149.58
  4. Step 4: Simplify right side
    150.59x = 30,837.41
  5. Step 5: Solve for x
    x = 30,837.41/150.59
  6. Step 6: Final answer
    x = 204.77

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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.