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Finding the Fourth Proportional to 278.61, 415.55 and 235.56

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Solution

The fourth proportional to 278.61, 415.55 and 235.56 is: 351.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.61 : 415.55 = 235.56 : x
  2. Step 2: Convert to fraction form
    278.61/415.55 = 235.56/x
  3. Step 3: Cross multiply
    278.61x = 415.55 × 235.56
  4. Step 4: Simplify right side
    278.61x = 97,885.78
  5. Step 5: Solve for x
    x = 97,885.78/278.61
  6. Step 6: Final answer
    x = 351.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.