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Finding the Fourth Proportional to 377.14, 569.20 and 364.28

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Solution

The fourth proportional to 377.14, 569.20 and 364.28 is: 549.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.14 : 569.20 = 364.28 : x
  2. Step 2: Convert to fraction form
    377.14/569.20 = 364.28/x
  3. Step 3: Cross multiply
    377.14x = 569.20 × 364.28
  4. Step 4: Simplify right side
    377.14x = 207,348.18
  5. Step 5: Solve for x
    x = 207,348.18/377.14
  6. Step 6: Final answer
    x = 549.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.