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Finding the Fourth Proportional to 313.64, 432.96 and 201.72

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Solution

The fourth proportional to 313.64, 432.96 and 201.72 is: 278.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.64 : 432.96 = 201.72 : x
  2. Step 2: Convert to fraction form
    313.64/432.96 = 201.72/x
  3. Step 3: Cross multiply
    313.64x = 432.96 × 201.72
  4. Step 4: Simplify right side
    313.64x = 87,338.69
  5. Step 5: Solve for x
    x = 87,338.69/313.64
  6. Step 6: Final answer
    x = 278.47

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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.