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Finding the Fourth Proportional to 338.59, 466.70 and 272.01

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Solution

The fourth proportional to 338.59, 466.70 and 272.01 is: 374.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.59 : 466.70 = 272.01 : x
  2. Step 2: Convert to fraction form
    338.59/466.70 = 272.01/x
  3. Step 3: Cross multiply
    338.59x = 466.70 × 272.01
  4. Step 4: Simplify right side
    338.59x = 126,947.07
  5. Step 5: Solve for x
    x = 126,947.07/338.59
  6. Step 6: Final answer
    x = 374.93

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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.