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Finding the Fourth Proportional to 387.88, 535.34 and 299.49

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Solution

The fourth proportional to 387.88, 535.34 and 299.49 is: 413.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.88 : 535.34 = 299.49 : x
  2. Step 2: Convert to fraction form
    387.88/535.34 = 299.49/x
  3. Step 3: Cross multiply
    387.88x = 535.34 × 299.49
  4. Step 4: Simplify right side
    387.88x = 160,328.98
  5. Step 5: Solve for x
    x = 160,328.98/387.88
  6. Step 6: Final answer
    x = 413.35

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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.