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Finding the Fourth Proportional to 419.20, 578.04 and 288.28

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Solution

The fourth proportional to 419.20, 578.04 and 288.28 is: 397.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.20 : 578.04 = 288.28 : x
  2. Step 2: Convert to fraction form
    419.20/578.04 = 288.28/x
  3. Step 3: Cross multiply
    419.20x = 578.04 × 288.28
  4. Step 4: Simplify right side
    419.20x = 166,637.37
  5. Step 5: Solve for x
    x = 166,637.37/419.20
  6. Step 6: Final answer
    x = 397.51

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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.