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Finding the Fourth Proportional to 631.56, 947.20 and 241.42

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Solution

The fourth proportional to 631.56, 947.20 and 241.42 is: 362.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.56 : 947.20 = 241.42 : x
  2. Step 2: Convert to fraction form
    631.56/947.20 = 241.42/x
  3. Step 3: Cross multiply
    631.56x = 947.20 × 241.42
  4. Step 4: Simplify right side
    631.56x = 228,673.02
  5. Step 5: Solve for x
    x = 228,673.02/631.56
  6. Step 6: Final answer
    x = 362.08

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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.