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Finding the Fourth Proportional to 210.94, 289.55 and 192.42

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Solution

The fourth proportional to 210.94, 289.55 and 192.42 is: 264.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.94 : 289.55 = 192.42 : x
  2. Step 2: Convert to fraction form
    210.94/289.55 = 192.42/x
  3. Step 3: Cross multiply
    210.94x = 289.55 × 192.42
  4. Step 4: Simplify right side
    210.94x = 55,715.21
  5. Step 5: Solve for x
    x = 55,715.21/210.94
  6. Step 6: Final answer
    x = 264.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.