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Finding the Fourth Proportional to 205.98, 307.63 and 178.35

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Solution

The fourth proportional to 205.98, 307.63 and 178.35 is: 266.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.98 : 307.63 = 178.35 : x
  2. Step 2: Convert to fraction form
    205.98/307.63 = 178.35/x
  3. Step 3: Cross multiply
    205.98x = 307.63 × 178.35
  4. Step 4: Simplify right side
    205.98x = 54,865.81
  5. Step 5: Solve for x
    x = 54,865.81/205.98
  6. Step 6: Final answer
    x = 266.36

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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.