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Finding the Fourth Proportional to 205.62, 309.53 and 177.36

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Solution

The fourth proportional to 205.62, 309.53 and 177.36 is: 266.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.62 : 309.53 = 177.36 : x
  2. Step 2: Convert to fraction form
    205.62/309.53 = 177.36/x
  3. Step 3: Cross multiply
    205.62x = 309.53 × 177.36
  4. Step 4: Simplify right side
    205.62x = 54,898.24
  5. Step 5: Solve for x
    x = 54,898.24/205.62
  6. Step 6: Final answer
    x = 266.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.