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Finding the Fourth Proportional to 338.79, 467.47 and 207.76

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Solution

The fourth proportional to 338.79, 467.47 and 207.76 is: 286.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.79 : 467.47 = 207.76 : x
  2. Step 2: Convert to fraction form
    338.79/467.47 = 207.76/x
  3. Step 3: Cross multiply
    338.79x = 467.47 × 207.76
  4. Step 4: Simplify right side
    338.79x = 97,121.57
  5. Step 5: Solve for x
    x = 97,121.57/338.79
  6. Step 6: Final answer
    x = 286.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.