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Finding the Fourth Proportional to 497.53, 746.32 and 223.66

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Solution

The fourth proportional to 497.53, 746.32 and 223.66 is: 335.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.53 : 746.32 = 223.66 : x
  2. Step 2: Convert to fraction form
    497.53/746.32 = 223.66/x
  3. Step 3: Cross multiply
    497.53x = 746.32 × 223.66
  4. Step 4: Simplify right side
    497.53x = 166,921.93
  5. Step 5: Solve for x
    x = 166,921.93/497.53
  6. Step 6: Final answer
    x = 335.50

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Double scale
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1.5x scale

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.