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Finding the Fourth Proportional to 377.00, 519.56 and 293.98

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Solution

The fourth proportional to 377.00, 519.56 and 293.98 is: 405.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.00 : 519.56 = 293.98 : x
  2. Step 2: Convert to fraction form
    377.00/519.56 = 293.98/x
  3. Step 3: Cross multiply
    377.00x = 519.56 × 293.98
  4. Step 4: Simplify right side
    377.00x = 152,738.58
  5. Step 5: Solve for x
    x = 152,738.58/377.00
  6. Step 6: Final answer
    x = 405.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.