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Finding the Fourth Proportional to 319.94, 480.36 and 183.26

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Solution

The fourth proportional to 319.94, 480.36 and 183.26 is: 275.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.94 : 480.36 = 183.26 : x
  2. Step 2: Convert to fraction form
    319.94/480.36 = 183.26/x
  3. Step 3: Cross multiply
    319.94x = 480.36 × 183.26
  4. Step 4: Simplify right side
    319.94x = 88,030.77
  5. Step 5: Solve for x
    x = 88,030.77/319.94
  6. Step 6: Final answer
    x = 275.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.