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Finding the Fourth Proportional to 293.40, 401.31 and 289.08

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Solution

The fourth proportional to 293.40, 401.31 and 289.08 is: 395.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.40 : 401.31 = 289.08 : x
  2. Step 2: Convert to fraction form
    293.40/401.31 = 289.08/x
  3. Step 3: Cross multiply
    293.40x = 401.31 × 289.08
  4. Step 4: Simplify right side
    293.40x = 116,010.69
  5. Step 5: Solve for x
    x = 116,010.69/293.40
  6. Step 6: Final answer
    x = 395.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.