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Finding the Fourth Proportional to 631.58, 947.37 and 220.64

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Solution

The fourth proportional to 631.58, 947.37 and 220.64 is: 330.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.58 : 947.37 = 220.64 : x
  2. Step 2: Convert to fraction form
    631.58/947.37 = 220.64/x
  3. Step 3: Cross multiply
    631.58x = 947.37 × 220.64
  4. Step 4: Simplify right side
    631.58x = 209,027.72
  5. Step 5: Solve for x
    x = 209,027.72/631.58
  6. Step 6: Final answer
    x = 330.96

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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.