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Finding the Fourth Proportional to 278.02, 417.17 and 141.07

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Solution

The fourth proportional to 278.02, 417.17 and 141.07 is: 211.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.02 : 417.17 = 141.07 : x
  2. Step 2: Convert to fraction form
    278.02/417.17 = 141.07/x
  3. Step 3: Cross multiply
    278.02x = 417.17 × 141.07
  4. Step 4: Simplify right side
    278.02x = 58,850.17
  5. Step 5: Solve for x
    x = 58,850.17/278.02
  6. Step 6: Final answer
    x = 211.68

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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.