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Finding the Fourth Proportional to 278.67, 417.53 and 124.52

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Solution

The fourth proportional to 278.67, 417.53 and 124.52 is: 186.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.67 : 417.53 = 124.52 : x
  2. Step 2: Convert to fraction form
    278.67/417.53 = 124.52/x
  3. Step 3: Cross multiply
    278.67x = 417.53 × 124.52
  4. Step 4: Simplify right side
    278.67x = 51,990.84
  5. Step 5: Solve for x
    x = 51,990.84/278.67
  6. Step 6: Final answer
    x = 186.57

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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.