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Finding the Fourth Proportional to 314.67, 471.25 and 184.39

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Solution

The fourth proportional to 314.67, 471.25 and 184.39 is: 276.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.67 : 471.25 = 184.39 : x
  2. Step 2: Convert to fraction form
    314.67/471.25 = 184.39/x
  3. Step 3: Cross multiply
    314.67x = 471.25 × 184.39
  4. Step 4: Simplify right side
    314.67x = 86,893.79
  5. Step 5: Solve for x
    x = 86,893.79/314.67
  6. Step 6: Final answer
    x = 276.14

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