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Finding the Fourth Proportional to 377.08, 520.50 and 260.80

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Solution

The fourth proportional to 377.08, 520.50 and 260.80 is: 359.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.08 : 520.50 = 260.80 : x
  2. Step 2: Convert to fraction form
    377.08/520.50 = 260.80/x
  3. Step 3: Cross multiply
    377.08x = 520.50 × 260.80
  4. Step 4: Simplify right side
    377.08x = 135,746.40
  5. Step 5: Solve for x
    x = 135,746.40/377.08
  6. Step 6: Final answer
    x = 359.99

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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.