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Finding the Fourth Proportional to 369.36, 509.76 and 282.24

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Solution

The fourth proportional to 369.36, 509.76 and 282.24 is: 389.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.36 : 509.76 = 282.24 : x
  2. Step 2: Convert to fraction form
    369.36/509.76 = 282.24/x
  3. Step 3: Cross multiply
    369.36x = 509.76 × 282.24
  4. Step 4: Simplify right side
    369.36x = 143,874.66
  5. Step 5: Solve for x
    x = 143,874.66/369.36
  6. Step 6: Final answer
    x = 389.52

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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.