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Finding the Fourth Proportional to 621.25, 931.81 and 188.41

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Solution

The fourth proportional to 621.25, 931.81 and 188.41 is: 282.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.25 : 931.81 = 188.41 : x
  2. Step 2: Convert to fraction form
    621.25/931.81 = 188.41/x
  3. Step 3: Cross multiply
    621.25x = 931.81 × 188.41
  4. Step 4: Simplify right side
    621.25x = 175,557.19
  5. Step 5: Solve for x
    x = 175,557.19/621.25
  6. Step 6: Final answer
    x = 282.59

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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.