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Finding the Fourth Proportional to 314.69, 471.72 and 160.38

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Solution

The fourth proportional to 314.69, 471.72 and 160.38 is: 240.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.69 : 471.72 = 160.38 : x
  2. Step 2: Convert to fraction form
    314.69/471.72 = 160.38/x
  3. Step 3: Cross multiply
    314.69x = 471.72 × 160.38
  4. Step 4: Simplify right side
    314.69x = 75,655.06
  5. Step 5: Solve for x
    x = 75,655.06/314.69
  6. Step 6: Final answer
    x = 240.42

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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.