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Finding the Fourth Proportional to 365.95, 505 and 216.59

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Solution

The fourth proportional to 365.95, 505 and 216.59 is: 298.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.95 : 505 = 216.59 : x
  2. Step 2: Convert to fraction form
    365.95/505 = 216.59/x
  3. Step 3: Cross multiply
    365.95x = 505 × 216.59
  4. Step 4: Simplify right side
    365.95x = 109,377.95
  5. Step 5: Solve for x
    x = 109,377.95/365.95
  6. Step 6: Final answer
    x = 298.89

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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.