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Finding the Fourth Proportional to 314.83, 471.81 and 268.32

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Solution

The fourth proportional to 314.83, 471.81 and 268.32 is: 402.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.83 : 471.81 = 268.32 : x
  2. Step 2: Convert to fraction form
    314.83/471.81 = 268.32/x
  3. Step 3: Cross multiply
    314.83x = 471.81 × 268.32
  4. Step 4: Simplify right side
    314.83x = 126,593.03
  5. Step 5: Solve for x
    x = 126,593.03/314.83
  6. Step 6: Final answer
    x = 402.10

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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.