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Finding the Fourth Proportional to 438.94, 657.99 and 195.33

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Solution

The fourth proportional to 438.94, 657.99 and 195.33 is: 292.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.94 : 657.99 = 195.33 : x
  2. Step 2: Convert to fraction form
    438.94/657.99 = 195.33/x
  3. Step 3: Cross multiply
    438.94x = 657.99 × 195.33
  4. Step 4: Simplify right side
    438.94x = 128,521.90
  5. Step 5: Solve for x
    x = 128,521.90/438.94
  6. Step 6: Final answer
    x = 292.80

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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.