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Finding the Fourth Proportional to 477.63, 659.21 and 291.16

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Solution

The fourth proportional to 477.63, 659.21 and 291.16 is: 401.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.63 : 659.21 = 291.16 : x
  2. Step 2: Convert to fraction form
    477.63/659.21 = 291.16/x
  3. Step 3: Cross multiply
    477.63x = 659.21 × 291.16
  4. Step 4: Simplify right side
    477.63x = 191,934.95
  5. Step 5: Solve for x
    x = 191,934.95/477.63
  6. Step 6: Final answer
    x = 401.85

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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.