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Finding the Fourth Proportional to 150.53, 205.57 and 148.91

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Solution

The fourth proportional to 150.53, 205.57 and 148.91 is: 203.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.53 : 205.57 = 148.91 : x
  2. Step 2: Convert to fraction form
    150.53/205.57 = 148.91/x
  3. Step 3: Cross multiply
    150.53x = 205.57 × 148.91
  4. Step 4: Simplify right side
    150.53x = 30,610.59
  5. Step 5: Solve for x
    x = 30,610.59/150.53
  6. Step 6: Final answer
    x = 203.36

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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.