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Finding the Fourth Proportional to 291.14, 434.42 and 260.49

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Solution

The fourth proportional to 291.14, 434.42 and 260.49 is: 388.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.14 : 434.42 = 260.49 : x
  2. Step 2: Convert to fraction form
    291.14/434.42 = 260.49/x
  3. Step 3: Cross multiply
    291.14x = 434.42 × 260.49
  4. Step 4: Simplify right side
    291.14x = 113,160.76
  5. Step 5: Solve for x
    x = 113,160.76/291.14
  6. Step 6: Final answer
    x = 388.69

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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.