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Finding the Fourth Proportional to 621.09, 931.65 and 255.78

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Solution

The fourth proportional to 621.09, 931.65 and 255.78 is: 383.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.09 : 931.65 = 255.78 : x
  2. Step 2: Convert to fraction form
    621.09/931.65 = 255.78/x
  3. Step 3: Cross multiply
    621.09x = 931.65 × 255.78
  4. Step 4: Simplify right side
    621.09x = 238,297.44
  5. Step 5: Solve for x
    x = 238,297.44/621.09
  6. Step 6: Final answer
    x = 383.68

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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.