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Finding the Fourth Proportional to 297.20, 410.64 and 264.16

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Solution

The fourth proportional to 297.20, 410.64 and 264.16 is: 364.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.20 : 410.64 = 264.16 : x
  2. Step 2: Convert to fraction form
    297.20/410.64 = 264.16/x
  3. Step 3: Cross multiply
    297.20x = 410.64 × 264.16
  4. Step 4: Simplify right side
    297.20x = 108,474.19
  5. Step 5: Solve for x
    x = 108,474.19/297.20
  6. Step 6: Final answer
    x = 364.98

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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.