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Finding the Fourth Proportional to 531.96, 734.06 and 299.10

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Solution

The fourth proportional to 531.96, 734.06 and 299.10 is: 412.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.96 : 734.06 = 299.10 : x
  2. Step 2: Convert to fraction form
    531.96/734.06 = 299.10/x
  3. Step 3: Cross multiply
    531.96x = 734.06 × 299.10
  4. Step 4: Simplify right side
    531.96x = 219,557.35
  5. Step 5: Solve for x
    x = 219,557.35/531.96
  6. Step 6: Final answer
    x = 412.73

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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.