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Finding the Fourth Proportional to 631.01, 946.38 and 197.93

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Solution

The fourth proportional to 631.01, 946.38 and 197.93 is: 296.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.01 : 946.38 = 197.93 : x
  2. Step 2: Convert to fraction form
    631.01/946.38 = 197.93/x
  3. Step 3: Cross multiply
    631.01x = 946.38 × 197.93
  4. Step 4: Simplify right side
    631.01x = 187,319.36
  5. Step 5: Solve for x
    x = 187,319.36/631.01
  6. Step 6: Final answer
    x = 296.86

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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.