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Finding the Fourth Proportional to 298.87, 411.51 and 254.52

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Solution

The fourth proportional to 298.87, 411.51 and 254.52 is: 350.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.87 : 411.51 = 254.52 : x
  2. Step 2: Convert to fraction form
    298.87/411.51 = 254.52/x
  3. Step 3: Cross multiply
    298.87x = 411.51 × 254.52
  4. Step 4: Simplify right side
    298.87x = 104,737.53
  5. Step 5: Solve for x
    x = 104,737.53/298.87
  6. Step 6: Final answer
    x = 350.45

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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.