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Finding the Fourth Proportional to 278.03, 415.23 and 232.01

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Solution

The fourth proportional to 278.03, 415.23 and 232.01 is: 346.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.03 : 415.23 = 232.01 : x
  2. Step 2: Convert to fraction form
    278.03/415.23 = 232.01/x
  3. Step 3: Cross multiply
    278.03x = 415.23 × 232.01
  4. Step 4: Simplify right side
    278.03x = 96,338.46
  5. Step 5: Solve for x
    x = 96,338.46/278.03
  6. Step 6: Final answer
    x = 346.50

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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.