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Finding the Fourth Proportional to 355.84, 491.12 and 216.04

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Solution

The fourth proportional to 355.84, 491.12 and 216.04 is: 298.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.84 : 491.12 = 216.04 : x
  2. Step 2: Convert to fraction form
    355.84/491.12 = 216.04/x
  3. Step 3: Cross multiply
    355.84x = 491.12 × 216.04
  4. Step 4: Simplify right side
    355.84x = 106,101.56
  5. Step 5: Solve for x
    x = 106,101.56/355.84
  6. Step 6: Final answer
    x = 298.17

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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.