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Finding the Fourth Proportional to 297.59, 412.58 and 281.18

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Solution

The fourth proportional to 297.59, 412.58 and 281.18 is: 389.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.59 : 412.58 = 281.18 : x
  2. Step 2: Convert to fraction form
    297.59/412.58 = 281.18/x
  3. Step 3: Cross multiply
    297.59x = 412.58 × 281.18
  4. Step 4: Simplify right side
    297.59x = 116,005.78
  5. Step 5: Solve for x
    x = 116,005.78/297.59
  6. Step 6: Final answer
    x = 389.82

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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.