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Finding the Fourth Proportional to 320.39, 438.33 and 319.02

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Solution

The fourth proportional to 320.39, 438.33 and 319.02 is: 436.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.39 : 438.33 = 319.02 : x
  2. Step 2: Convert to fraction form
    320.39/438.33 = 319.02/x
  3. Step 3: Cross multiply
    320.39x = 438.33 × 319.02
  4. Step 4: Simplify right side
    320.39x = 139,836.04
  5. Step 5: Solve for x
    x = 139,836.04/320.39
  6. Step 6: Final answer
    x = 436.46

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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.