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Finding the Fourth Proportional to 631.67, 947.63 and 192.92

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Solution

The fourth proportional to 631.67, 947.63 and 192.92 is: 289.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.67 : 947.63 = 192.92 : x
  2. Step 2: Convert to fraction form
    631.67/947.63 = 192.92/x
  3. Step 3: Cross multiply
    631.67x = 947.63 × 192.92
  4. Step 4: Simplify right side
    631.67x = 182,812.52
  5. Step 5: Solve for x
    x = 182,812.52/631.67
  6. Step 6: Final answer
    x = 289.41

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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.