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Finding the Fourth Proportional to 382.88, 571.06 and 358.40

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Solution

The fourth proportional to 382.88, 571.06 and 358.40 is: 534.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.88 : 571.06 = 358.40 : x
  2. Step 2: Convert to fraction form
    382.88/571.06 = 358.40/x
  3. Step 3: Cross multiply
    382.88x = 571.06 × 358.40
  4. Step 4: Simplify right side
    382.88x = 204,667.90
  5. Step 5: Solve for x
    x = 204,667.90/382.88
  6. Step 6: Final answer
    x = 534.55

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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.