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Finding the Fourth Proportional to 428.58, 590.94 and 330.12

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Solution

The fourth proportional to 428.58, 590.94 and 330.12 is: 455.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.58 : 590.94 = 330.12 : x
  2. Step 2: Convert to fraction form
    428.58/590.94 = 330.12/x
  3. Step 3: Cross multiply
    428.58x = 590.94 × 330.12
  4. Step 4: Simplify right side
    428.58x = 195,081.11
  5. Step 5: Solve for x
    x = 195,081.11/428.58
  6. Step 6: Final answer
    x = 455.18

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Why These Related Problems?

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