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Finding the Fourth Proportional to 309.76, 464.06 and 206.74

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Solution

The fourth proportional to 309.76, 464.06 and 206.74 is: 309.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.76 : 464.06 = 206.74 : x
  2. Step 2: Convert to fraction form
    309.76/464.06 = 206.74/x
  3. Step 3: Cross multiply
    309.76x = 464.06 × 206.74
  4. Step 4: Simplify right side
    309.76x = 95,939.76
  5. Step 5: Solve for x
    x = 95,939.76/309.76
  6. Step 6: Final answer
    x = 309.72

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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.