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Finding the Fourth Proportional to 298.50, 414.18 and 286.32

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Solution

The fourth proportional to 298.50, 414.18 and 286.32 is: 397.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.50 : 414.18 = 286.32 : x
  2. Step 2: Convert to fraction form
    298.50/414.18 = 286.32/x
  3. Step 3: Cross multiply
    298.50x = 414.18 × 286.32
  4. Step 4: Simplify right side
    298.50x = 118,588.02
  5. Step 5: Solve for x
    x = 118,588.02/298.50
  6. Step 6: Final answer
    x = 397.28

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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.