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Finding the Fourth Proportional to 291.54, 401.42 and 260.34

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Solution

The fourth proportional to 291.54, 401.42 and 260.34 is: 358.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.54 : 401.42 = 260.34 : x
  2. Step 2: Convert to fraction form
    291.54/401.42 = 260.34/x
  3. Step 3: Cross multiply
    291.54x = 401.42 × 260.34
  4. Step 4: Simplify right side
    291.54x = 104,505.68
  5. Step 5: Solve for x
    x = 104,505.68/291.54
  6. Step 6: Final answer
    x = 358.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.