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Finding the Fourth Proportional to 287.94, 396.81 and 210.18

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Solution

The fourth proportional to 287.94, 396.81 and 210.18 is: 289.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.94 : 396.81 = 210.18 : x
  2. Step 2: Convert to fraction form
    287.94/396.81 = 210.18/x
  3. Step 3: Cross multiply
    287.94x = 396.81 × 210.18
  4. Step 4: Simplify right side
    287.94x = 83,401.53
  5. Step 5: Solve for x
    x = 83,401.53/287.94
  6. Step 6: Final answer
    x = 289.65

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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.