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Finding the Fourth Proportional to 314.32, 471.48 and 286.48

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Solution

The fourth proportional to 314.32, 471.48 and 286.48 is: 429.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.32 : 471.48 = 286.48 : x
  2. Step 2: Convert to fraction form
    314.32/471.48 = 286.48/x
  3. Step 3: Cross multiply
    314.32x = 471.48 × 286.48
  4. Step 4: Simplify right side
    314.32x = 135,069.59
  5. Step 5: Solve for x
    x = 135,069.59/314.32
  6. Step 6: Final answer
    x = 429.72

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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.