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Finding the Fourth Proportional to 381.55, 574.40 and 260.57

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Solution

The fourth proportional to 381.55, 574.40 and 260.57 is: 392.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.55 : 574.40 = 260.57 : x
  2. Step 2: Convert to fraction form
    381.55/574.40 = 260.57/x
  3. Step 3: Cross multiply
    381.55x = 574.40 × 260.57
  4. Step 4: Simplify right side
    381.55x = 149,670.11
  5. Step 5: Solve for x
    x = 149,670.11/381.55
  6. Step 6: Final answer
    x = 392.27

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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.