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Finding the Fourth Proportional to 365.91, 505.36 and 284.01

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Solution

The fourth proportional to 365.91, 505.36 and 284.01 is: 392.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.91 : 505.36 = 284.01 : x
  2. Step 2: Convert to fraction form
    365.91/505.36 = 284.01/x
  3. Step 3: Cross multiply
    365.91x = 505.36 × 284.01
  4. Step 4: Simplify right side
    365.91x = 143,525.22
  5. Step 5: Solve for x
    x = 143,525.22/365.91
  6. Step 6: Final answer
    x = 392.25

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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.