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Finding the Fourth Proportional to 382.18, 570.68 and 300.10

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Solution

The fourth proportional to 382.18, 570.68 and 300.10 is: 448.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.18 : 570.68 = 300.10 : x
  2. Step 2: Convert to fraction form
    382.18/570.68 = 300.10/x
  3. Step 3: Cross multiply
    382.18x = 570.68 × 300.10
  4. Step 4: Simplify right side
    382.18x = 171,261.07
  5. Step 5: Solve for x
    x = 171,261.07/382.18
  6. Step 6: Final answer
    x = 448.12

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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.