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Finding the Fourth Proportional to 290.52, 435.82 and 85.15

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Solution

The fourth proportional to 290.52, 435.82 and 85.15 is: 127.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.52 : 435.82 = 85.15 : x
  2. Step 2: Convert to fraction form
    290.52/435.82 = 85.15/x
  3. Step 3: Cross multiply
    290.52x = 435.82 × 85.15
  4. Step 4: Simplify right side
    290.52x = 37,110.07
  5. Step 5: Solve for x
    x = 37,110.07/290.52
  6. Step 6: Final answer
    x = 127.74

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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.