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Finding the Fourth Proportional to 312.08, 430.72 and 201.88

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Solution

The fourth proportional to 312.08, 430.72 and 201.88 is: 278.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.08 : 430.72 = 201.88 : x
  2. Step 2: Convert to fraction form
    312.08/430.72 = 201.88/x
  3. Step 3: Cross multiply
    312.08x = 430.72 × 201.88
  4. Step 4: Simplify right side
    312.08x = 86,953.75
  5. Step 5: Solve for x
    x = 86,953.75/312.08
  6. Step 6: Final answer
    x = 278.63

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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.