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Finding the Fourth Proportional to 377.63, 520.98 and 237.50

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Solution

The fourth proportional to 377.63, 520.98 and 237.50 is: 327.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.63 : 520.98 = 237.50 : x
  2. Step 2: Convert to fraction form
    377.63/520.98 = 237.50/x
  3. Step 3: Cross multiply
    377.63x = 520.98 × 237.50
  4. Step 4: Simplify right side
    377.63x = 123,733.16
  5. Step 5: Solve for x
    x = 123,733.16/377.63
  6. Step 6: Final answer
    x = 327.65

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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.