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Finding the Fourth Proportional to 477.77, 659.37 and 291.22

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Solution

The fourth proportional to 477.77, 659.37 and 291.22 is: 401.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.77 : 659.37 = 291.22 : x
  2. Step 2: Convert to fraction form
    477.77/659.37 = 291.22/x
  3. Step 3: Cross multiply
    477.77x = 659.37 × 291.22
  4. Step 4: Simplify right side
    477.77x = 192,021.73
  5. Step 5: Solve for x
    x = 192,021.73/477.77
  6. Step 6: Final answer
    x = 401.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.