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Finding the Fourth Proportional to 338.00, 465.41 and 288.77

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Solution

The fourth proportional to 338.00, 465.41 and 288.77 is: 397.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.00 : 465.41 = 288.77 : x
  2. Step 2: Convert to fraction form
    338.00/465.41 = 288.77/x
  3. Step 3: Cross multiply
    338.00x = 465.41 × 288.77
  4. Step 4: Simplify right side
    338.00x = 134,394.84
  5. Step 5: Solve for x
    x = 134,394.84/338.00
  6. Step 6: Final answer
    x = 397.62

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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.