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Finding the Fourth Proportional to 387.02, 533.72 and 255.80

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Solution

The fourth proportional to 387.02, 533.72 and 255.80 is: 352.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.02 : 533.72 = 255.80 : x
  2. Step 2: Convert to fraction form
    387.02/533.72 = 255.80/x
  3. Step 3: Cross multiply
    387.02x = 533.72 × 255.80
  4. Step 4: Simplify right side
    387.02x = 136,525.58
  5. Step 5: Solve for x
    x = 136,525.58/387.02
  6. Step 6: Final answer
    x = 352.76

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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.