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Finding the Fourth Proportional to 314.05, 471 and 94.63

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Solution

The fourth proportional to 314.05, 471 and 94.63 is: 141.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.05 : 471 = 94.63 : x
  2. Step 2: Convert to fraction form
    314.05/471 = 94.63/x
  3. Step 3: Cross multiply
    314.05x = 471 × 94.63
  4. Step 4: Simplify right side
    314.05x = 44,570.73
  5. Step 5: Solve for x
    x = 44,570.73/314.05
  6. Step 6: Final answer
    x = 141.92

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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.