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Finding the Fourth Proportional to 290.87, 432.70 and 287.94

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Solution

The fourth proportional to 290.87, 432.70 and 287.94 is: 428.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.87 : 432.70 = 287.94 : x
  2. Step 2: Convert to fraction form
    290.87/432.70 = 287.94/x
  3. Step 3: Cross multiply
    290.87x = 432.70 × 287.94
  4. Step 4: Simplify right side
    290.87x = 124,590.92
  5. Step 5: Solve for x
    x = 124,590.92/290.87
  6. Step 6: Final answer
    x = 428.34

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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.