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Finding the Fourth Proportional to 486.16, 671.01 and 320.40

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Solution

The fourth proportional to 486.16, 671.01 and 320.40 is: 442.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.16 : 671.01 = 320.40 : x
  2. Step 2: Convert to fraction form
    486.16/671.01 = 320.40/x
  3. Step 3: Cross multiply
    486.16x = 671.01 × 320.40
  4. Step 4: Simplify right side
    486.16x = 214,991.60
  5. Step 5: Solve for x
    x = 214,991.60/486.16
  6. Step 6: Final answer
    x = 442.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.