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Finding the Fourth Proportional to 369.24, 509.28 and 286.32

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Solution

The fourth proportional to 369.24, 509.28 and 286.32 is: 394.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.24 : 509.28 = 286.32 : x
  2. Step 2: Convert to fraction form
    369.24/509.28 = 286.32/x
  3. Step 3: Cross multiply
    369.24x = 509.28 × 286.32
  4. Step 4: Simplify right side
    369.24x = 145,817.05
  5. Step 5: Solve for x
    x = 145,817.05/369.24
  6. Step 6: Final answer
    x = 394.91

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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.