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Finding the Fourth Proportional to 315.18, 471.94 and 294.92

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Solution

The fourth proportional to 315.18, 471.94 and 294.92 is: 441.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.18 : 471.94 = 294.92 : x
  2. Step 2: Convert to fraction form
    315.18/471.94 = 294.92/x
  3. Step 3: Cross multiply
    315.18x = 471.94 × 294.92
  4. Step 4: Simplify right side
    315.18x = 139,184.54
  5. Step 5: Solve for x
    x = 139,184.54/315.18
  6. Step 6: Final answer
    x = 441.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.