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Finding the Fourth Proportional to 278.01, 415.04 and 232.47

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Solution

The fourth proportional to 278.01, 415.04 and 232.47 is: 347.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.01 : 415.04 = 232.47 : x
  2. Step 2: Convert to fraction form
    278.01/415.04 = 232.47/x
  3. Step 3: Cross multiply
    278.01x = 415.04 × 232.47
  4. Step 4: Simplify right side
    278.01x = 96,483.19
  5. Step 5: Solve for x
    x = 96,483.19/278.01
  6. Step 6: Final answer
    x = 347.05

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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.