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Finding the Fourth Proportional to 312.21, 430.75 and 187.83

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Solution

The fourth proportional to 312.21, 430.75 and 187.83 is: 259.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.21 : 430.75 = 187.83 : x
  2. Step 2: Convert to fraction form
    312.21/430.75 = 187.83/x
  3. Step 3: Cross multiply
    312.21x = 430.75 × 187.83
  4. Step 4: Simplify right side
    312.21x = 80,906.80
  5. Step 5: Solve for x
    x = 80,906.80/312.21
  6. Step 6: Final answer
    x = 259.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.