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Finding the Fourth Proportional to 387.36, 533.52 and 360.48

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Solution

The fourth proportional to 387.36, 533.52 and 360.48 is: 496.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.36 : 533.52 = 360.48 : x
  2. Step 2: Convert to fraction form
    387.36/533.52 = 360.48/x
  3. Step 3: Cross multiply
    387.36x = 533.52 × 360.48
  4. Step 4: Simplify right side
    387.36x = 192,323.29
  5. Step 5: Solve for x
    x = 192,323.29/387.36
  6. Step 6: Final answer
    x = 496.50

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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.