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Finding the Fourth Proportional to 377.08, 520.36 and 266.74

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Solution

The fourth proportional to 377.08, 520.36 and 266.74 is: 368.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.08 : 520.36 = 266.74 : x
  2. Step 2: Convert to fraction form
    377.08/520.36 = 266.74/x
  3. Step 3: Cross multiply
    377.08x = 520.36 × 266.74
  4. Step 4: Simplify right side
    377.08x = 138,798.86
  5. Step 5: Solve for x
    x = 138,798.86/377.08
  6. Step 6: Final answer
    x = 368.09

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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.