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Finding the Fourth Proportional to 153.09, 209.64 and 144.77

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Solution

The fourth proportional to 153.09, 209.64 and 144.77 is: 198.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.09 : 209.64 = 144.77 : x
  2. Step 2: Convert to fraction form
    153.09/209.64 = 144.77/x
  3. Step 3: Cross multiply
    153.09x = 209.64 × 144.77
  4. Step 4: Simplify right side
    153.09x = 30,349.58
  5. Step 5: Solve for x
    x = 30,349.58/153.09
  6. Step 6: Final answer
    x = 198.25

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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.