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Finding the Fourth Proportional to 365.71, 505.59 and 283.09

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Solution

The fourth proportional to 365.71, 505.59 and 283.09 is: 391.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.71 : 505.59 = 283.09 : x
  2. Step 2: Convert to fraction form
    365.71/505.59 = 283.09/x
  3. Step 3: Cross multiply
    365.71x = 505.59 × 283.09
  4. Step 4: Simplify right side
    365.71x = 143,123.53
  5. Step 5: Solve for x
    x = 143,123.53/365.71
  6. Step 6: Final answer
    x = 391.36

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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.