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Finding the Fourth Proportional to 382.04, 568.91 and 358.68

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Solution

The fourth proportional to 382.04, 568.91 and 358.68 is: 534.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.04 : 568.91 = 358.68 : x
  2. Step 2: Convert to fraction form
    382.04/568.91 = 358.68/x
  3. Step 3: Cross multiply
    382.04x = 568.91 × 358.68
  4. Step 4: Simplify right side
    382.04x = 204,056.64
  5. Step 5: Solve for x
    x = 204,056.64/382.04
  6. Step 6: Final answer
    x = 534.12

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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.