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Finding the Fourth Proportional to 381.31, 568.22 and 358.22

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Solution

The fourth proportional to 381.31, 568.22 and 358.22 is: 533.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.31 : 568.22 = 358.22 : x
  2. Step 2: Convert to fraction form
    381.31/568.22 = 358.22/x
  3. Step 3: Cross multiply
    381.31x = 568.22 × 358.22
  4. Step 4: Simplify right side
    381.31x = 203,547.40
  5. Step 5: Solve for x
    x = 203,547.40/381.31
  6. Step 6: Final answer
    x = 533.81

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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.