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Finding the Fourth Proportional to 313.71, 472.89 and 286.37

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Solution

The fourth proportional to 313.71, 472.89 and 286.37 is: 431.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.71 : 472.89 = 286.37 : x
  2. Step 2: Convert to fraction form
    313.71/472.89 = 286.37/x
  3. Step 3: Cross multiply
    313.71x = 472.89 × 286.37
  4. Step 4: Simplify right side
    313.71x = 135,421.51
  5. Step 5: Solve for x
    x = 135,421.51/313.71
  6. Step 6: Final answer
    x = 431.68

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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.