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Finding the Fourth Proportional to 381.04, 567.42 and 357.68

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Solution

The fourth proportional to 381.04, 567.42 and 357.68 is: 532.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.04 : 567.42 = 357.68 : x
  2. Step 2: Convert to fraction form
    381.04/567.42 = 357.68/x
  3. Step 3: Cross multiply
    381.04x = 567.42 × 357.68
  4. Step 4: Simplify right side
    381.04x = 202,954.79
  5. Step 5: Solve for x
    x = 202,954.79/381.04
  6. Step 6: Final answer
    x = 532.63

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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.