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Finding the Fourth Proportional to 376.81, 519.95 and 211.01

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Solution

The fourth proportional to 376.81, 519.95 and 211.01 is: 291.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.81 : 519.95 = 211.01 : x
  2. Step 2: Convert to fraction form
    376.81/519.95 = 211.01/x
  3. Step 3: Cross multiply
    376.81x = 519.95 × 211.01
  4. Step 4: Simplify right side
    376.81x = 109,712.58
  5. Step 5: Solve for x
    x = 109,712.58/376.81
  6. Step 6: Final answer
    x = 291.16

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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.