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Finding the Fourth Proportional to 291.62, 433.82 and 288.69

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Solution

The fourth proportional to 291.62, 433.82 and 288.69 is: 429.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.62 : 433.82 = 288.69 : x
  2. Step 2: Convert to fraction form
    291.62/433.82 = 288.69/x
  3. Step 3: Cross multiply
    291.62x = 433.82 × 288.69
  4. Step 4: Simplify right side
    291.62x = 125,238.05
  5. Step 5: Solve for x
    x = 125,238.05/291.62
  6. Step 6: Final answer
    x = 429.45

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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.