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Finding the Fourth Proportional to 295.20, 405.12 and 270.72

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Solution

The fourth proportional to 295.20, 405.12 and 270.72 is: 371.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.20 : 405.12 = 270.72 : x
  2. Step 2: Convert to fraction form
    295.20/405.12 = 270.72/x
  3. Step 3: Cross multiply
    295.20x = 405.12 × 270.72
  4. Step 4: Simplify right side
    295.20x = 109,674.09
  5. Step 5: Solve for x
    x = 109,674.09/295.20
  6. Step 6: Final answer
    x = 371.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.