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Finding the Fourth Proportional to 272.12, 407.72 and 237.50

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Solution

The fourth proportional to 272.12, 407.72 and 237.50 is: 355.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.12 : 407.72 = 237.50 : x
  2. Step 2: Convert to fraction form
    272.12/407.72 = 237.50/x
  3. Step 3: Cross multiply
    272.12x = 407.72 × 237.50
  4. Step 4: Simplify right side
    272.12x = 96,833.50
  5. Step 5: Solve for x
    x = 96,833.50/272.12
  6. Step 6: Final answer
    x = 355.85

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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.