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Finding the Fourth Proportional to 291.36, 433.62 and 290.46

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Solution

The fourth proportional to 291.36, 433.62 and 290.46 is: 432.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.36 : 433.62 = 290.46 : x
  2. Step 2: Convert to fraction form
    291.36/433.62 = 290.46/x
  3. Step 3: Cross multiply
    291.36x = 433.62 × 290.46
  4. Step 4: Simplify right side
    291.36x = 125,949.27
  5. Step 5: Solve for x
    x = 125,949.27/291.36
  6. Step 6: Final answer
    x = 432.28

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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.