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Finding the Fourth Proportional to 315.86, 471.09 and 298.04

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Solution

The fourth proportional to 315.86, 471.09 and 298.04 is: 444.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.86 : 471.09 = 298.04 : x
  2. Step 2: Convert to fraction form
    315.86/471.09 = 298.04/x
  3. Step 3: Cross multiply
    315.86x = 471.09 × 298.04
  4. Step 4: Simplify right side
    315.86x = 140,402.43
  5. Step 5: Solve for x
    x = 140,402.43/315.86
  6. Step 6: Final answer
    x = 444.52

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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.