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Finding the Fourth Proportional to 280.53, 418.37 and 239.65

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Solution

The fourth proportional to 280.53, 418.37 and 239.65 is: 357.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.53 : 418.37 = 239.65 : x
  2. Step 2: Convert to fraction form
    280.53/418.37 = 239.65/x
  3. Step 3: Cross multiply
    280.53x = 418.37 × 239.65
  4. Step 4: Simplify right side
    280.53x = 100,260.13
  5. Step 5: Solve for x
    x = 100,260.13/280.53
  6. Step 6: Final answer
    x = 357.40

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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.