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Finding the Fourth Proportional to 272.24, 407.28 and 175.60

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Solution

The fourth proportional to 272.24, 407.28 and 175.60 is: 262.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.24 : 407.28 = 175.60 : x
  2. Step 2: Convert to fraction form
    272.24/407.28 = 175.60/x
  3. Step 3: Cross multiply
    272.24x = 407.28 × 175.60
  4. Step 4: Simplify right side
    272.24x = 71,518.37
  5. Step 5: Solve for x
    x = 71,518.37/272.24
  6. Step 6: Final answer
    x = 262.70

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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.