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Finding the Fourth Proportional to 272.24, 407.88 and 203.60

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Solution

The fourth proportional to 272.24, 407.88 and 203.60 is: 305.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.24 : 407.88 = 203.60 : x
  2. Step 2: Convert to fraction form
    272.24/407.88 = 203.60/x
  3. Step 3: Cross multiply
    272.24x = 407.88 × 203.60
  4. Step 4: Simplify right side
    272.24x = 83,044.37
  5. Step 5: Solve for x
    x = 83,044.37/272.24
  6. Step 6: Final answer
    x = 305.04

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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.