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Finding the Fourth Proportional to 366, 505.10 and 210.76

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Solution

The fourth proportional to 366, 505.10 and 210.76 is: 290.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    366 : 505.10 = 210.76 : x
  2. Step 2: Convert to fraction form
    366/505.10 = 210.76/x
  3. Step 3: Cross multiply
    366x = 505.10 × 210.76
  4. Step 4: Simplify right side
    366x = 106,454.88
  5. Step 5: Solve for x
    x = 106,454.88/366
  6. Step 6: Final answer
    x = 290.86

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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.