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Finding the Fourth Proportional to 563.76, 846.10 and 239.36

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Solution

The fourth proportional to 563.76, 846.10 and 239.36 is: 359.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.76 : 846.10 = 239.36 : x
  2. Step 2: Convert to fraction form
    563.76/846.10 = 239.36/x
  3. Step 3: Cross multiply
    563.76x = 846.10 × 239.36
  4. Step 4: Simplify right side
    563.76x = 202,517.22
  5. Step 5: Solve for x
    x = 202,517.22/563.76
  6. Step 6: Final answer
    x = 359.23

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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.