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Finding the Fourth Proportional to 333.54, 460.34 and 278.19

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Solution

The fourth proportional to 333.54, 460.34 and 278.19 is: 383.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.54 : 460.34 = 278.19 : x
  2. Step 2: Convert to fraction form
    333.54/460.34 = 278.19/x
  3. Step 3: Cross multiply
    333.54x = 460.34 × 278.19
  4. Step 4: Simplify right side
    333.54x = 128,061.98
  5. Step 5: Solve for x
    x = 128,061.98/333.54
  6. Step 6: Final answer
    x = 383.95

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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.