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Finding the Fourth Proportional to 382.06, 569.48 and 352.90

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Solution

The fourth proportional to 382.06, 569.48 and 352.90 is: 526.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.06 : 569.48 = 352.90 : x
  2. Step 2: Convert to fraction form
    382.06/569.48 = 352.90/x
  3. Step 3: Cross multiply
    382.06x = 569.48 × 352.90
  4. Step 4: Simplify right side
    382.06x = 200,969.49
  5. Step 5: Solve for x
    x = 200,969.49/382.06
  6. Step 6: Final answer
    x = 526.02

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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.