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Finding the Fourth Proportional to 387.01, 533.78 and 268.98

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Solution

The fourth proportional to 387.01, 533.78 and 268.98 is: 370.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.01 : 533.78 = 268.98 : x
  2. Step 2: Convert to fraction form
    387.01/533.78 = 268.98/x
  3. Step 3: Cross multiply
    387.01x = 533.78 × 268.98
  4. Step 4: Simplify right side
    387.01x = 143,576.14
  5. Step 5: Solve for x
    x = 143,576.14/387.01
  6. Step 6: Final answer
    x = 370.99

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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.