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Finding the Fourth Proportional to 297.64, 410.25 and 238.42

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Solution

The fourth proportional to 297.64, 410.25 and 238.42 is: 328.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.64 : 410.25 = 238.42 : x
  2. Step 2: Convert to fraction form
    297.64/410.25 = 238.42/x
  3. Step 3: Cross multiply
    297.64x = 410.25 × 238.42
  4. Step 4: Simplify right side
    297.64x = 97,811.81
  5. Step 5: Solve for x
    x = 97,811.81/297.64
  6. Step 6: Final answer
    x = 328.62

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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.