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Finding the Fourth Proportional to 377.35, 520.90 and 230.04

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Solution

The fourth proportional to 377.35, 520.90 and 230.04 is: 317.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.35 : 520.90 = 230.04 : x
  2. Step 2: Convert to fraction form
    377.35/520.90 = 230.04/x
  3. Step 3: Cross multiply
    377.35x = 520.90 × 230.04
  4. Step 4: Simplify right side
    377.35x = 119,827.84
  5. Step 5: Solve for x
    x = 119,827.84/377.35
  6. Step 6: Final answer
    x = 317.55

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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.