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Finding the Fourth Proportional to 631.59, 947.25 and 192.75

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Solution

The fourth proportional to 631.59, 947.25 and 192.75 is: 289.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.59 : 947.25 = 192.75 : x
  2. Step 2: Convert to fraction form
    631.59/947.25 = 192.75/x
  3. Step 3: Cross multiply
    631.59x = 947.25 × 192.75
  4. Step 4: Simplify right side
    631.59x = 182,582.44
  5. Step 5: Solve for x
    x = 182,582.44/631.59
  6. Step 6: Final answer
    x = 289.08

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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.