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Finding the Fourth Proportional to 631.46, 947.31 and 192.74

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Solution

The fourth proportional to 631.46, 947.31 and 192.74 is: 289.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.46 : 947.31 = 192.74 : x
  2. Step 2: Convert to fraction form
    631.46/947.31 = 192.74/x
  3. Step 3: Cross multiply
    631.46x = 947.31 × 192.74
  4. Step 4: Simplify right side
    631.46x = 182,579.79
  5. Step 5: Solve for x
    x = 182,579.79/631.46
  6. Step 6: Final answer
    x = 289.14

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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.