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Finding the Fourth Proportional to 144.26, 215.24 and 135.50

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Solution

The fourth proportional to 144.26, 215.24 and 135.50 is: 202.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.26 : 215.24 = 135.50 : x
  2. Step 2: Convert to fraction form
    144.26/215.24 = 135.50/x
  3. Step 3: Cross multiply
    144.26x = 215.24 × 135.50
  4. Step 4: Simplify right side
    144.26x = 29,165.02
  5. Step 5: Solve for x
    x = 29,165.02/144.26
  6. Step 6: Final answer
    x = 202.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.