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Finding the Fourth Proportional to 278.39, 419.25 and 235.32

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Solution

The fourth proportional to 278.39, 419.25 and 235.32 is: 354.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.39 : 419.25 = 235.32 : x
  2. Step 2: Convert to fraction form
    278.39/419.25 = 235.32/x
  3. Step 3: Cross multiply
    278.39x = 419.25 × 235.32
  4. Step 4: Simplify right side
    278.39x = 98,657.91
  5. Step 5: Solve for x
    x = 98,657.91/278.39
  6. Step 6: Final answer
    x = 354.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.