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Finding the Fourth Proportional to 297.75, 446.30 and 102.57

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Solution

The fourth proportional to 297.75, 446.30 and 102.57 is: 153.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.75 : 446.30 = 102.57 : x
  2. Step 2: Convert to fraction form
    297.75/446.30 = 102.57/x
  3. Step 3: Cross multiply
    297.75x = 446.30 × 102.57
  4. Step 4: Simplify right side
    297.75x = 45,775.19
  5. Step 5: Solve for x
    x = 45,775.19/297.75
  6. Step 6: Final answer
    x = 153.74

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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.