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Finding the Fourth Proportional to 333.80, 460.50 and 230.12

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Solution

The fourth proportional to 333.80, 460.50 and 230.12 is: 317.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.80 : 460.50 = 230.12 : x
  2. Step 2: Convert to fraction form
    333.80/460.50 = 230.12/x
  3. Step 3: Cross multiply
    333.80x = 460.50 × 230.12
  4. Step 4: Simplify right side
    333.80x = 105,970.26
  5. Step 5: Solve for x
    x = 105,970.26/333.80
  6. Step 6: Final answer
    x = 317.47

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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.