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Finding the Fourth Proportional to 377.64, 520.52 and 283.77

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Solution

The fourth proportional to 377.64, 520.52 and 283.77 is: 391.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.64 : 520.52 = 283.77 : x
  2. Step 2: Convert to fraction form
    377.64/520.52 = 283.77/x
  3. Step 3: Cross multiply
    377.64x = 520.52 × 283.77
  4. Step 4: Simplify right side
    377.64x = 147,706.54
  5. Step 5: Solve for x
    x = 147,706.54/377.64
  6. Step 6: Final answer
    x = 391.13

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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.