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Finding the Fourth Proportional to 319.41, 438.08 and 306.18

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Solution

The fourth proportional to 319.41, 438.08 and 306.18 is: 419.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.41 : 438.08 = 306.18 : x
  2. Step 2: Convert to fraction form
    319.41/438.08 = 306.18/x
  3. Step 3: Cross multiply
    319.41x = 438.08 × 306.18
  4. Step 4: Simplify right side
    319.41x = 134,129.80
  5. Step 5: Solve for x
    x = 134,129.80/319.41
  6. Step 6: Final answer
    x = 419.93

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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.