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Finding the Fourth Proportional to 278.00, 417.02 and 72.58

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Solution

The fourth proportional to 278.00, 417.02 and 72.58 is: 108.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.00 : 417.02 = 72.58 : x
  2. Step 2: Convert to fraction form
    278.00/417.02 = 72.58/x
  3. Step 3: Cross multiply
    278.00x = 417.02 × 72.58
  4. Step 4: Simplify right side
    278.00x = 30,266.45
  5. Step 5: Solve for x
    x = 30,266.45/278.00
  6. Step 6: Final answer
    x = 108.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.