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Finding the Fourth Proportional to 206.12, 307.85 and 178.79

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Solution

The fourth proportional to 206.12, 307.85 and 178.79 is: 267.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.12 : 307.85 = 178.79 : x
  2. Step 2: Convert to fraction form
    206.12/307.85 = 178.79/x
  3. Step 3: Cross multiply
    206.12x = 307.85 × 178.79
  4. Step 4: Simplify right side
    206.12x = 55,038.07
  5. Step 5: Solve for x
    x = 55,038.07/206.12
  6. Step 6: Final answer
    x = 267.02

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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.