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Finding the Fourth Proportional to 381.02, 573.59 and 260.06

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Solution

The fourth proportional to 381.02, 573.59 and 260.06 is: 391.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.02 : 573.59 = 260.06 : x
  2. Step 2: Convert to fraction form
    381.02/573.59 = 260.06/x
  3. Step 3: Cross multiply
    381.02x = 573.59 × 260.06
  4. Step 4: Simplify right side
    381.02x = 149,163.65
  5. Step 5: Solve for x
    x = 149,163.65/381.02
  6. Step 6: Final answer
    x = 391.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.