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Finding the Fourth Proportional to 498.51, 746.82 and 282.24

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Solution

The fourth proportional to 498.51, 746.82 and 282.24 is: 422.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.51 : 746.82 = 282.24 : x
  2. Step 2: Convert to fraction form
    498.51/746.82 = 282.24/x
  3. Step 3: Cross multiply
    498.51x = 746.82 × 282.24
  4. Step 4: Simplify right side
    498.51x = 210,782.48
  5. Step 5: Solve for x
    x = 210,782.48/498.51
  6. Step 6: Final answer
    x = 422.82

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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.