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Finding the Fourth Proportional to 497.64, 746.22 and 292.28

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Solution

The fourth proportional to 497.64, 746.22 and 292.28 is: 438.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.64 : 746.22 = 292.28 : x
  2. Step 2: Convert to fraction form
    497.64/746.22 = 292.28/x
  3. Step 3: Cross multiply
    497.64x = 746.22 × 292.28
  4. Step 4: Simplify right side
    497.64x = 218,105.18
  5. Step 5: Solve for x
    x = 218,105.18/497.64
  6. Step 6: Final answer
    x = 438.28

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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.