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Finding the Fourth Proportional to 369.36, 509.76 and 303.84

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Solution

The fourth proportional to 369.36, 509.76 and 303.84 is: 419.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.36 : 509.76 = 303.84 : x
  2. Step 2: Convert to fraction form
    369.36/509.76 = 303.84/x
  3. Step 3: Cross multiply
    369.36x = 509.76 × 303.84
  4. Step 4: Simplify right side
    369.36x = 154,885.48
  5. Step 5: Solve for x
    x = 154,885.48/369.36
  6. Step 6: Final answer
    x = 419.33

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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.