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Finding the Fourth Proportional to 314.22, 472.98 and 286.53

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Solution

The fourth proportional to 314.22, 472.98 and 286.53 is: 431.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.22 : 472.98 = 286.53 : x
  2. Step 2: Convert to fraction form
    314.22/472.98 = 286.53/x
  3. Step 3: Cross multiply
    314.22x = 472.98 × 286.53
  4. Step 4: Simplify right side
    314.22x = 135,521.88
  5. Step 5: Solve for x
    x = 135,521.88/314.22
  6. Step 6: Final answer
    x = 431.30

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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.