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Finding the Fourth Proportional to 559.19, 838.75 and 266.48

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Solution

The fourth proportional to 559.19, 838.75 and 266.48 is: 399.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.19 : 838.75 = 266.48 : x
  2. Step 2: Convert to fraction form
    559.19/838.75 = 266.48/x
  3. Step 3: Cross multiply
    559.19x = 838.75 × 266.48
  4. Step 4: Simplify right side
    559.19x = 223,504.57
  5. Step 5: Solve for x
    x = 223,504.57/559.19
  6. Step 6: Final answer
    x = 399.69

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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.