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Finding the Fourth Proportional to 559.32, 838.18 and 251.06

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Solution

The fourth proportional to 559.32, 838.18 and 251.06 is: 376.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.32 : 838.18 = 251.06 : x
  2. Step 2: Convert to fraction form
    559.32/838.18 = 251.06/x
  3. Step 3: Cross multiply
    559.32x = 838.18 × 251.06
  4. Step 4: Simplify right side
    559.32x = 210,433.47
  5. Step 5: Solve for x
    x = 210,433.47/559.32
  6. Step 6: Final answer
    x = 376.23

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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.