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Finding the Fourth Proportional to 319.42, 440.82 and 188.38

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Solution

The fourth proportional to 319.42, 440.82 and 188.38 is: 259.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.42 : 440.82 = 188.38 : x
  2. Step 2: Convert to fraction form
    319.42/440.82 = 188.38/x
  3. Step 3: Cross multiply
    319.42x = 440.82 × 188.38
  4. Step 4: Simplify right side
    319.42x = 83,041.67
  5. Step 5: Solve for x
    x = 83,041.67/319.42
  6. Step 6: Final answer
    x = 259.98

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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.