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Finding the Fourth Proportional to 312.37, 430.98 and 201.80

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Solution

The fourth proportional to 312.37, 430.98 and 201.80 is: 278.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.37 : 430.98 = 201.80 : x
  2. Step 2: Convert to fraction form
    312.37/430.98 = 201.80/x
  3. Step 3: Cross multiply
    312.37x = 430.98 × 201.80
  4. Step 4: Simplify right side
    312.37x = 86,971.76
  5. Step 5: Solve for x
    x = 86,971.76/312.37
  6. Step 6: Final answer
    x = 278.43

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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.