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Finding the Fourth Proportional to 365.98, 505.08 and 210.73

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Solution

The fourth proportional to 365.98, 505.08 and 210.73 is: 290.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.98 : 505.08 = 210.73 : x
  2. Step 2: Convert to fraction form
    365.98/505.08 = 210.73/x
  3. Step 3: Cross multiply
    365.98x = 505.08 × 210.73
  4. Step 4: Simplify right side
    365.98x = 106,435.51
  5. Step 5: Solve for x
    x = 106,435.51/365.98
  6. Step 6: Final answer
    x = 290.82

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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.