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Finding the Fourth Proportional to 291.94, 434.59 and 278.66

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Solution

The fourth proportional to 291.94, 434.59 and 278.66 is: 414.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.94 : 434.59 = 278.66 : x
  2. Step 2: Convert to fraction form
    291.94/434.59 = 278.66/x
  3. Step 3: Cross multiply
    291.94x = 434.59 × 278.66
  4. Step 4: Simplify right side
    291.94x = 121,103.24
  5. Step 5: Solve for x
    x = 121,103.24/291.94
  6. Step 6: Final answer
    x = 414.83

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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.