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Finding the Fourth Proportional to 297.66, 412.74 and 287.40

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Solution

The fourth proportional to 297.66, 412.74 and 287.40 is: 398.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.66 : 412.74 = 287.40 : x
  2. Step 2: Convert to fraction form
    297.66/412.74 = 287.40/x
  3. Step 3: Cross multiply
    297.66x = 412.74 × 287.40
  4. Step 4: Simplify right side
    297.66x = 118,621.48
  5. Step 5: Solve for x
    x = 118,621.48/297.66
  6. Step 6: Final answer
    x = 398.51

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.