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Finding the Fourth Proportional to 631.82, 947.48 and 192.93

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Solution

The fourth proportional to 631.82, 947.48 and 192.93 is: 289.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.82 : 947.48 = 192.93 : x
  2. Step 2: Convert to fraction form
    631.82/947.48 = 192.93/x
  3. Step 3: Cross multiply
    631.82x = 947.48 × 192.93
  4. Step 4: Simplify right side
    631.82x = 182,796.35
  5. Step 5: Solve for x
    x = 182,796.35/631.82
  6. Step 6: Final answer
    x = 289.32

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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.