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Finding the Fourth Proportional to 291.88, 434.18 and 288.94

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Solution

The fourth proportional to 291.88, 434.18 and 288.94 is: 429.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.88 : 434.18 = 288.94 : x
  2. Step 2: Convert to fraction form
    291.88/434.18 = 288.94/x
  3. Step 3: Cross multiply
    291.88x = 434.18 × 288.94
  4. Step 4: Simplify right side
    291.88x = 125,451.97
  5. Step 5: Solve for x
    x = 125,451.97/291.88
  6. Step 6: Final answer
    x = 429.81

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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.