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Finding the Fourth Proportional to 294.22, 438.41 and 261.91

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Solution

The fourth proportional to 294.22, 438.41 and 261.91 is: 390.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.22 : 438.41 = 261.91 : x
  2. Step 2: Convert to fraction form
    294.22/438.41 = 261.91/x
  3. Step 3: Cross multiply
    294.22x = 438.41 × 261.91
  4. Step 4: Simplify right side
    294.22x = 114,823.96
  5. Step 5: Solve for x
    x = 114,823.96/294.22
  6. Step 6: Final answer
    x = 390.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.