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Finding the Fourth Proportional to 291.79, 434.45 and 290.42

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Solution

The fourth proportional to 291.79, 434.45 and 290.42 is: 432.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.79 : 434.45 = 290.42 : x
  2. Step 2: Convert to fraction form
    291.79/434.45 = 290.42/x
  3. Step 3: Cross multiply
    291.79x = 434.45 × 290.42
  4. Step 4: Simplify right side
    291.79x = 126,171.52
  5. Step 5: Solve for x
    x = 126,171.52/291.79
  6. Step 6: Final answer
    x = 432.41

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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.