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Finding the Fourth Proportional to 291.01, 438.46 and 263.25

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Solution

The fourth proportional to 291.01, 438.46 and 263.25 is: 396.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.01 : 438.46 = 263.25 : x
  2. Step 2: Convert to fraction form
    291.01/438.46 = 263.25/x
  3. Step 3: Cross multiply
    291.01x = 438.46 × 263.25
  4. Step 4: Simplify right side
    291.01x = 115,422.84
  5. Step 5: Solve for x
    x = 115,422.84/291.01
  6. Step 6: Final answer
    x = 396.63

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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.