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Finding the Fourth Proportional to 632.22, 946.90 and 339.20

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Solution

The fourth proportional to 632.22, 946.90 and 339.20 is: 508.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.22 : 946.90 = 339.20 : x
  2. Step 2: Convert to fraction form
    632.22/946.90 = 339.20/x
  3. Step 3: Cross multiply
    632.22x = 946.90 × 339.20
  4. Step 4: Simplify right side
    632.22x = 321,188.48
  5. Step 5: Solve for x
    x = 321,188.48/632.22
  6. Step 6: Final answer
    x = 508.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.