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Finding the Fourth Proportional to 385.93, 533.06 and 299.66

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Solution

The fourth proportional to 385.93, 533.06 and 299.66 is: 413.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.93 : 533.06 = 299.66 : x
  2. Step 2: Convert to fraction form
    385.93/533.06 = 299.66/x
  3. Step 3: Cross multiply
    385.93x = 533.06 × 299.66
  4. Step 4: Simplify right side
    385.93x = 159,736.76
  5. Step 5: Solve for x
    x = 159,736.76/385.93
  6. Step 6: Final answer
    x = 413.90

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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.