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Finding the Fourth Proportional to 360.48, 497.63 and 272

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Solution

The fourth proportional to 360.48, 497.63 and 272 is: 375.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.48 : 497.63 = 272 : x
  2. Step 2: Convert to fraction form
    360.48/497.63 = 272/x
  3. Step 3: Cross multiply
    360.48x = 497.63 × 272
  4. Step 4: Simplify right side
    360.48x = 135,355.36
  5. Step 5: Solve for x
    x = 135,355.36/360.48
  6. Step 6: Final answer
    x = 375.49

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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.