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Finding the Fourth Proportional to 369.30, 505.25 and 365.66

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Solution

The fourth proportional to 369.30, 505.25 and 365.66 is: 500.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.30 : 505.25 = 365.66 : x
  2. Step 2: Convert to fraction form
    369.30/505.25 = 365.66/x
  3. Step 3: Cross multiply
    369.30x = 505.25 × 365.66
  4. Step 4: Simplify right side
    369.30x = 184,748.10
  5. Step 5: Solve for x
    x = 184,748.10/369.30
  6. Step 6: Final answer
    x = 500.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.