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Finding the Fourth Proportional to 377.02, 519.74 and 266.16

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Solution

The fourth proportional to 377.02, 519.74 and 266.16 is: 366.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.02 : 519.74 = 266.16 : x
  2. Step 2: Convert to fraction form
    377.02/519.74 = 266.16/x
  3. Step 3: Cross multiply
    377.02x = 519.74 × 266.16
  4. Step 4: Simplify right side
    377.02x = 138,334.00
  5. Step 5: Solve for x
    x = 138,334.00/377.02
  6. Step 6: Final answer
    x = 366.91

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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.