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Finding the Fourth Proportional to 214.64, 294.80 and 190.06

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Solution

The fourth proportional to 214.64, 294.80 and 190.06 is: 261.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.64 : 294.80 = 190.06 : x
  2. Step 2: Convert to fraction form
    214.64/294.80 = 190.06/x
  3. Step 3: Cross multiply
    214.64x = 294.80 × 190.06
  4. Step 4: Simplify right side
    214.64x = 56,029.69
  5. Step 5: Solve for x
    x = 56,029.69/214.64
  6. Step 6: Final answer
    x = 261.04

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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.