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Finding the Fourth Proportional to 369.92, 509.52 and 287.02

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Solution

The fourth proportional to 369.92, 509.52 and 287.02 is: 395.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.92 : 509.52 = 287.02 : x
  2. Step 2: Convert to fraction form
    369.92/509.52 = 287.02/x
  3. Step 3: Cross multiply
    369.92x = 509.52 × 287.02
  4. Step 4: Simplify right side
    369.92x = 146,242.43
  5. Step 5: Solve for x
    x = 146,242.43/369.92
  6. Step 6: Final answer
    x = 395.34

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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.