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Finding the Fourth Proportional to 206.61, 309.51 and 177.72

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Solution

The fourth proportional to 206.61, 309.51 and 177.72 is: 266.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.61 : 309.51 = 177.72 : x
  2. Step 2: Convert to fraction form
    206.61/309.51 = 177.72/x
  3. Step 3: Cross multiply
    206.61x = 309.51 × 177.72
  4. Step 4: Simplify right side
    206.61x = 55,006.12
  5. Step 5: Solve for x
    x = 55,006.12/206.61
  6. Step 6: Final answer
    x = 266.23

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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.