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Finding the Fourth Proportional to 290.88, 433.35 and 272.25

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Solution

The fourth proportional to 290.88, 433.35 and 272.25 is: 405.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.88 : 433.35 = 272.25 : x
  2. Step 2: Convert to fraction form
    290.88/433.35 = 272.25/x
  3. Step 3: Cross multiply
    290.88x = 433.35 × 272.25
  4. Step 4: Simplify right side
    290.88x = 117,979.54
  5. Step 5: Solve for x
    x = 117,979.54/290.88
  6. Step 6: Final answer
    x = 405.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.