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Finding the Fourth Proportional to 338.51, 466.30 and 288.55

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Solution

The fourth proportional to 338.51, 466.30 and 288.55 is: 397.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.51 : 466.30 = 288.55 : x
  2. Step 2: Convert to fraction form
    338.51/466.30 = 288.55/x
  3. Step 3: Cross multiply
    338.51x = 466.30 × 288.55
  4. Step 4: Simplify right side
    338.51x = 134,550.87
  5. Step 5: Solve for x
    x = 134,550.87/338.51
  6. Step 6: Final answer
    x = 397.48

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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.