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Finding the Fourth Proportional to 314.31, 473.12 and 286.62

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Solution

The fourth proportional to 314.31, 473.12 and 286.62 is: 431.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.31 : 473.12 = 286.62 : x
  2. Step 2: Convert to fraction form
    314.31/473.12 = 286.62/x
  3. Step 3: Cross multiply
    314.31x = 473.12 × 286.62
  4. Step 4: Simplify right side
    314.31x = 135,606.00
  5. Step 5: Solve for x
    x = 135,606.00/314.31
  6. Step 6: Final answer
    x = 431.44

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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.