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Finding the Fourth Proportional to 381.54, 574.61 and 321.06

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Solution

The fourth proportional to 381.54, 574.61 and 321.06 is: 483.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.54 : 574.61 = 321.06 : x
  2. Step 2: Convert to fraction form
    381.54/574.61 = 321.06/x
  3. Step 3: Cross multiply
    381.54x = 574.61 × 321.06
  4. Step 4: Simplify right side
    381.54x = 184,482.68
  5. Step 5: Solve for x
    x = 184,482.68/381.54
  6. Step 6: Final answer
    x = 483.52

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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.