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Finding the Fourth Proportional to 214.04, 319.20 and 188.48

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Solution

The fourth proportional to 214.04, 319.20 and 188.48 is: 281.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.04 : 319.20 = 188.48 : x
  2. Step 2: Convert to fraction form
    214.04/319.20 = 188.48/x
  3. Step 3: Cross multiply
    214.04x = 319.20 × 188.48
  4. Step 4: Simplify right side
    214.04x = 60,162.82
  5. Step 5: Solve for x
    x = 60,162.82/214.04
  6. Step 6: Final answer
    x = 281.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.