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Finding the Fourth Proportional to 309.79, 464.10 and 206.77

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Solution

The fourth proportional to 309.79, 464.10 and 206.77 is: 309.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.79 : 464.10 = 206.77 : x
  2. Step 2: Convert to fraction form
    309.79/464.10 = 206.77/x
  3. Step 3: Cross multiply
    309.79x = 464.10 × 206.77
  4. Step 4: Simplify right side
    309.79x = 95,961.96
  5. Step 5: Solve for x
    x = 95,961.96/309.79
  6. Step 6: Final answer
    x = 309.76

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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.