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Finding the Fourth Proportional to 382.55, 570.89 and 341.54

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Solution

The fourth proportional to 382.55, 570.89 and 341.54 is: 509.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.55 : 570.89 = 341.54 : x
  2. Step 2: Convert to fraction form
    382.55/570.89 = 341.54/x
  3. Step 3: Cross multiply
    382.55x = 570.89 × 341.54
  4. Step 4: Simplify right side
    382.55x = 194,984.05
  5. Step 5: Solve for x
    x = 194,984.05/382.55
  6. Step 6: Final answer
    x = 509.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.