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Finding the Fourth Proportional to 291.67, 437.41 and 272.50

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Solution

The fourth proportional to 291.67, 437.41 and 272.50 is: 408.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.67 : 437.41 = 272.50 : x
  2. Step 2: Convert to fraction form
    291.67/437.41 = 272.50/x
  3. Step 3: Cross multiply
    291.67x = 437.41 × 272.50
  4. Step 4: Simplify right side
    291.67x = 119,194.23
  5. Step 5: Solve for x
    x = 119,194.23/291.67
  6. Step 6: Final answer
    x = 408.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.