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Finding the Fourth Proportional to 290.32, 437.32 and 286.54

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Solution

The fourth proportional to 290.32, 437.32 and 286.54 is: 431.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.32 : 437.32 = 286.54 : x
  2. Step 2: Convert to fraction form
    290.32/437.32 = 286.54/x
  3. Step 3: Cross multiply
    290.32x = 437.32 × 286.54
  4. Step 4: Simplify right side
    290.32x = 125,309.67
  5. Step 5: Solve for x
    x = 125,309.67/290.32
  6. Step 6: Final answer
    x = 431.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.