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Finding the Fourth Proportional to 210.36, 314.84 and 190.38

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Solution

The fourth proportional to 210.36, 314.84 and 190.38 is: 284.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.36 : 314.84 = 190.38 : x
  2. Step 2: Convert to fraction form
    210.36/314.84 = 190.38/x
  3. Step 3: Cross multiply
    210.36x = 314.84 × 190.38
  4. Step 4: Simplify right side
    210.36x = 59,939.24
  5. Step 5: Solve for x
    x = 59,939.24/210.36
  6. Step 6: Final answer
    x = 284.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.