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Finding the Fourth Proportional to 297.47, 446.03 and 102.43

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Solution

The fourth proportional to 297.47, 446.03 and 102.43 is: 153.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.47 : 446.03 = 102.43 : x
  2. Step 2: Convert to fraction form
    297.47/446.03 = 102.43/x
  3. Step 3: Cross multiply
    297.47x = 446.03 × 102.43
  4. Step 4: Simplify right side
    297.47x = 45,685.23
  5. Step 5: Solve for x
    x = 45,685.23/297.47
  6. Step 6: Final answer
    x = 153.58

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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.