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Finding the Fourth Proportional to 320.94, 478.81 and 286.31

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Solution

The fourth proportional to 320.94, 478.81 and 286.31 is: 427.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.94 : 478.81 = 286.31 : x
  2. Step 2: Convert to fraction form
    320.94/478.81 = 286.31/x
  3. Step 3: Cross multiply
    320.94x = 478.81 × 286.31
  4. Step 4: Simplify right side
    320.94x = 137,088.09
  5. Step 5: Solve for x
    x = 137,088.09/320.94
  6. Step 6: Final answer
    x = 427.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.