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Finding the Fourth Proportional to 290.07, 434.52 and 255.78

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Solution

The fourth proportional to 290.07, 434.52 and 255.78 is: 383.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.07 : 434.52 = 255.78 : x
  2. Step 2: Convert to fraction form
    290.07/434.52 = 255.78/x
  3. Step 3: Cross multiply
    290.07x = 434.52 × 255.78
  4. Step 4: Simplify right side
    290.07x = 111,141.53
  5. Step 5: Solve for x
    x = 111,141.53/290.07
  6. Step 6: Final answer
    x = 383.15

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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.