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Finding the Fourth Proportional to 380.88, 568.08 and 356.40

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Solution

The fourth proportional to 380.88, 568.08 and 356.40 is: 531.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.88 : 568.08 = 356.40 : x
  2. Step 2: Convert to fraction form
    380.88/568.08 = 356.40/x
  3. Step 3: Cross multiply
    380.88x = 568.08 × 356.40
  4. Step 4: Simplify right side
    380.88x = 202,463.71
  5. Step 5: Solve for x
    x = 202,463.71/380.88
  6. Step 6: Final answer
    x = 531.57

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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.