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Finding the Fourth Proportional to 314.28, 473.28 and 241.68

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Solution

The fourth proportional to 314.28, 473.28 and 241.68 is: 363.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.28 : 473.28 = 241.68 : x
  2. Step 2: Convert to fraction form
    314.28/473.28 = 241.68/x
  3. Step 3: Cross multiply
    314.28x = 473.28 × 241.68
  4. Step 4: Simplify right side
    314.28x = 114,382.31
  5. Step 5: Solve for x
    x = 114,382.31/314.28
  6. Step 6: Final answer
    x = 363.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.