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Finding the Fourth Proportional to 319.51, 442.19 and 311.84

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Solution

The fourth proportional to 319.51, 442.19 and 311.84 is: 431.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.51 : 442.19 = 311.84 : x
  2. Step 2: Convert to fraction form
    319.51/442.19 = 311.84/x
  3. Step 3: Cross multiply
    319.51x = 442.19 × 311.84
  4. Step 4: Simplify right side
    319.51x = 137,888.76
  5. Step 5: Solve for x
    x = 137,888.76/319.51
  6. Step 6: Final answer
    x = 431.57

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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.