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Finding the Fourth Proportional to 291.51, 439.21 and 263.75

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Solution

The fourth proportional to 291.51, 439.21 and 263.75 is: 397.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.51 : 439.21 = 263.75 : x
  2. Step 2: Convert to fraction form
    291.51/439.21 = 263.75/x
  3. Step 3: Cross multiply
    291.51x = 439.21 × 263.75
  4. Step 4: Simplify right side
    291.51x = 115,841.64
  5. Step 5: Solve for x
    x = 115,841.64/291.51
  6. Step 6: Final answer
    x = 397.38

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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.