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Finding the Fourth Proportional to 205.93, 307.58 and 177.11

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Solution

The fourth proportional to 205.93, 307.58 and 177.11 is: 264.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.93 : 307.58 = 177.11 : x
  2. Step 2: Convert to fraction form
    205.93/307.58 = 177.11/x
  3. Step 3: Cross multiply
    205.93x = 307.58 × 177.11
  4. Step 4: Simplify right side
    205.93x = 54,475.49
  5. Step 5: Solve for x
    x = 54,475.49/205.93
  6. Step 6: Final answer
    x = 264.53

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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.