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Finding the Fourth Proportional to 382.19, 570.33 and 341.17

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Solution

The fourth proportional to 382.19, 570.33 and 341.17 is: 509.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.19 : 570.33 = 341.17 : x
  2. Step 2: Convert to fraction form
    382.19/570.33 = 341.17/x
  3. Step 3: Cross multiply
    382.19x = 570.33 × 341.17
  4. Step 4: Simplify right side
    382.19x = 194,578.06
  5. Step 5: Solve for x
    x = 194,578.06/382.19
  6. Step 6: Final answer
    x = 509.12

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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.