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Finding the Fourth Proportional to 291.40, 439.14 and 262.54

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Solution

The fourth proportional to 291.40, 439.14 and 262.54 is: 395.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.40 : 439.14 = 262.54 : x
  2. Step 2: Convert to fraction form
    291.40/439.14 = 262.54/x
  3. Step 3: Cross multiply
    291.40x = 439.14 × 262.54
  4. Step 4: Simplify right side
    291.40x = 115,290.50
  5. Step 5: Solve for x
    x = 115,290.50/291.40
  6. Step 6: Final answer
    x = 395.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.