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Finding the Fourth Proportional to 297.15, 409.45 and 252.74

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Solution

The fourth proportional to 297.15, 409.45 and 252.74 is: 348.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.15 : 409.45 = 252.74 : x
  2. Step 2: Convert to fraction form
    297.15/409.45 = 252.74/x
  3. Step 3: Cross multiply
    297.15x = 409.45 × 252.74
  4. Step 4: Simplify right side
    297.15x = 103,482.35
  5. Step 5: Solve for x
    x = 103,482.35/297.15
  6. Step 6: Final answer
    x = 348.25

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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.