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Finding the Fourth Proportional to 382, 569.99 and 330.16

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Solution

The fourth proportional to 382, 569.99 and 330.16 is: 492.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    382 : 569.99 = 330.16 : x
  2. Step 2: Convert to fraction form
    382/569.99 = 330.16/x
  3. Step 3: Cross multiply
    382x = 569.99 × 330.16
  4. Step 4: Simplify right side
    382x = 188,187.90
  5. Step 5: Solve for x
    x = 188,187.90/382
  6. Step 6: Final answer
    x = 492.64

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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.