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Finding the Fourth Proportional to 314.23, 470.83 and 190.86

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Solution

The fourth proportional to 314.23, 470.83 and 190.86 is: 285.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.23 : 470.83 = 190.86 : x
  2. Step 2: Convert to fraction form
    314.23/470.83 = 190.86/x
  3. Step 3: Cross multiply
    314.23x = 470.83 × 190.86
  4. Step 4: Simplify right side
    314.23x = 89,862.14
  5. Step 5: Solve for x
    x = 89,862.14/314.23
  6. Step 6: Final answer
    x = 285.98

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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.