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Finding the Fourth Proportional to 362.83, 542.12 and 278.99

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Solution

The fourth proportional to 362.83, 542.12 and 278.99 is: 416.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.83 : 542.12 = 278.99 : x
  2. Step 2: Convert to fraction form
    362.83/542.12 = 278.99/x
  3. Step 3: Cross multiply
    362.83x = 542.12 × 278.99
  4. Step 4: Simplify right side
    362.83x = 151,246.06
  5. Step 5: Solve for x
    x = 151,246.06/362.83
  6. Step 6: Final answer
    x = 416.86

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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.