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Finding the Fourth Proportional to 303.32, 419.24 and 268.10

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Solution

The fourth proportional to 303.32, 419.24 and 268.10 is: 370.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.32 : 419.24 = 268.10 : x
  2. Step 2: Convert to fraction form
    303.32/419.24 = 268.10/x
  3. Step 3: Cross multiply
    303.32x = 419.24 × 268.10
  4. Step 4: Simplify right side
    303.32x = 112,398.24
  5. Step 5: Solve for x
    x = 112,398.24/303.32
  6. Step 6: Final answer
    x = 370.56

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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.