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Finding the Fourth Proportional to 365.78, 505 and 282.74

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Solution

The fourth proportional to 365.78, 505 and 282.74 is: 390.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.78 : 505 = 282.74 : x
  2. Step 2: Convert to fraction form
    365.78/505 = 282.74/x
  3. Step 3: Cross multiply
    365.78x = 505 × 282.74
  4. Step 4: Simplify right side
    365.78x = 142,783.70
  5. Step 5: Solve for x
    x = 142,783.70/365.78
  6. Step 6: Final answer
    x = 390.35

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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.