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Finding the Fourth Proportional to 320.25, 478.04 and 274.89

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Solution

The fourth proportional to 320.25, 478.04 and 274.89 is: 410.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.25 : 478.04 = 274.89 : x
  2. Step 2: Convert to fraction form
    320.25/478.04 = 274.89/x
  3. Step 3: Cross multiply
    320.25x = 478.04 × 274.89
  4. Step 4: Simplify right side
    320.25x = 131,407.04
  5. Step 5: Solve for x
    x = 131,407.04/320.25
  6. Step 6: Final answer
    x = 410.33

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