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Finding the Fourth Proportional to 380.10, 567.16 and 356.88

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Solution

The fourth proportional to 380.10, 567.16 and 356.88 is: 532.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.10 : 567.16 = 356.88 : x
  2. Step 2: Convert to fraction form
    380.10/567.16 = 356.88/x
  3. Step 3: Cross multiply
    380.10x = 567.16 × 356.88
  4. Step 4: Simplify right side
    380.10x = 202,403.44
  5. Step 5: Solve for x
    x = 202,403.44/380.10
  6. Step 6: Final answer
    x = 532.51

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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.