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Finding the Fourth Proportional to 205.40, 307.76 and 144.43

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Solution

The fourth proportional to 205.40, 307.76 and 144.43 is: 216.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.40 : 307.76 = 144.43 : x
  2. Step 2: Convert to fraction form
    205.40/307.76 = 144.43/x
  3. Step 3: Cross multiply
    205.40x = 307.76 × 144.43
  4. Step 4: Simplify right side
    205.40x = 44,449.37
  5. Step 5: Solve for x
    x = 44,449.37/205.40
  6. Step 6: Final answer
    x = 216.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.