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Finding the Fourth Proportional to 377.67, 520.53 and 307.58

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Solution

The fourth proportional to 377.67, 520.53 and 307.58 is: 423.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.67 : 520.53 = 307.58 : x
  2. Step 2: Convert to fraction form
    377.67/520.53 = 307.58/x
  3. Step 3: Cross multiply
    377.67x = 520.53 × 307.58
  4. Step 4: Simplify right side
    377.67x = 160,104.62
  5. Step 5: Solve for x
    x = 160,104.62/377.67
  6. Step 6: Final answer
    x = 423.93

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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.