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Finding the Fourth Proportional to 270.08, 374.24 and 264.32

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Solution

The fourth proportional to 270.08, 374.24 and 264.32 is: 366.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.08 : 374.24 = 264.32 : x
  2. Step 2: Convert to fraction form
    270.08/374.24 = 264.32/x
  3. Step 3: Cross multiply
    270.08x = 374.24 × 264.32
  4. Step 4: Simplify right side
    270.08x = 98,919.12
  5. Step 5: Solve for x
    x = 98,919.12/270.08
  6. Step 6: Final answer
    x = 366.26

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.