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Finding the Fourth Proportional to 419.20, 577.28 and 294.72

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Solution

The fourth proportional to 419.20, 577.28 and 294.72 is: 405.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.20 : 577.28 = 294.72 : x
  2. Step 2: Convert to fraction form
    419.20/577.28 = 294.72/x
  3. Step 3: Cross multiply
    419.20x = 577.28 × 294.72
  4. Step 4: Simplify right side
    419.20x = 170,135.96
  5. Step 5: Solve for x
    x = 170,135.96/419.20
  6. Step 6: Final answer
    x = 405.86

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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.