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Finding the Fourth Proportional to 303.28, 419.28 and 290.35

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Solution

The fourth proportional to 303.28, 419.28 and 290.35 is: 401.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.28 : 419.28 = 290.35 : x
  2. Step 2: Convert to fraction form
    303.28/419.28 = 290.35/x
  3. Step 3: Cross multiply
    303.28x = 419.28 × 290.35
  4. Step 4: Simplify right side
    303.28x = 121,737.95
  5. Step 5: Solve for x
    x = 121,737.95/303.28
  6. Step 6: Final answer
    x = 401.40

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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.