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Finding the Fourth Proportional to 377.71, 520.61 and 253.32

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Solution

The fourth proportional to 377.71, 520.61 and 253.32 is: 349.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.71 : 520.61 = 253.32 : x
  2. Step 2: Convert to fraction form
    377.71/520.61 = 253.32/x
  3. Step 3: Cross multiply
    377.71x = 520.61 × 253.32
  4. Step 4: Simplify right side
    377.71x = 131,880.93
  5. Step 5: Solve for x
    x = 131,880.93/377.71
  6. Step 6: Final answer
    x = 349.16

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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.