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Finding the Fourth Proportional to 333.96, 502.85 and 243.24

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Solution

The fourth proportional to 333.96, 502.85 and 243.24 is: 366.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.96 : 502.85 = 243.24 : x
  2. Step 2: Convert to fraction form
    333.96/502.85 = 243.24/x
  3. Step 3: Cross multiply
    333.96x = 502.85 × 243.24
  4. Step 4: Simplify right side
    333.96x = 122,312.02
  5. Step 5: Solve for x
    x = 122,312.02/333.96
  6. Step 6: Final answer
    x = 366.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.