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Finding the Fourth Proportional to 312.71, 471.38 and 285.37

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Solution

The fourth proportional to 312.71, 471.38 and 285.37 is: 430.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.71 : 471.38 = 285.37 : x
  2. Step 2: Convert to fraction form
    312.71/471.38 = 285.37/x
  3. Step 3: Cross multiply
    312.71x = 471.38 × 285.37
  4. Step 4: Simplify right side
    312.71x = 134,519.76
  5. Step 5: Solve for x
    x = 134,519.76/312.71
  6. Step 6: Final answer
    x = 430.17

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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.