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Finding the Fourth Proportional to 503.36, 694.60 and 282.24

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Solution

The fourth proportional to 503.36, 694.60 and 282.24 is: 389.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.36 : 694.60 = 282.24 : x
  2. Step 2: Convert to fraction form
    503.36/694.60 = 282.24/x
  3. Step 3: Cross multiply
    503.36x = 694.60 × 282.24
  4. Step 4: Simplify right side
    503.36x = 196,043.90
  5. Step 5: Solve for x
    x = 196,043.90/503.36
  6. Step 6: Final answer
    x = 389.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.