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Finding the Fourth Proportional to 155.40, 213.56 and 148.26

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Solution

The fourth proportional to 155.40, 213.56 and 148.26 is: 203.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.40 : 213.56 = 148.26 : x
  2. Step 2: Convert to fraction form
    155.40/213.56 = 148.26/x
  3. Step 3: Cross multiply
    155.40x = 213.56 × 148.26
  4. Step 4: Simplify right side
    155.40x = 31,662.41
  5. Step 5: Solve for x
    x = 31,662.41/155.40
  6. Step 6: Final answer
    x = 203.75

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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.