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Finding the Fourth Proportional to 338.46, 465.66 and 289.05

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Solution

The fourth proportional to 338.46, 465.66 and 289.05 is: 397.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.46 : 465.66 = 289.05 : x
  2. Step 2: Convert to fraction form
    338.46/465.66 = 289.05/x
  3. Step 3: Cross multiply
    338.46x = 465.66 × 289.05
  4. Step 4: Simplify right side
    338.46x = 134,599.02
  5. Step 5: Solve for x
    x = 134,599.02/338.46
  6. Step 6: Final answer
    x = 397.68

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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.