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Finding the Fourth Proportional to 314.43, 468.46 and 298.94

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Solution

The fourth proportional to 314.43, 468.46 and 298.94 is: 445.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.43 : 468.46 = 298.94 : x
  2. Step 2: Convert to fraction form
    314.43/468.46 = 298.94/x
  3. Step 3: Cross multiply
    314.43x = 468.46 × 298.94
  4. Step 4: Simplify right side
    314.43x = 140,040.10
  5. Step 5: Solve for x
    x = 140,040.10/314.43
  6. Step 6: Final answer
    x = 445.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.