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Finding the Fourth Proportional to 428.01, 590.02 and 334.65

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Solution

The fourth proportional to 428.01, 590.02 and 334.65 is: 461.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.01 : 590.02 = 334.65 : x
  2. Step 2: Convert to fraction form
    428.01/590.02 = 334.65/x
  3. Step 3: Cross multiply
    428.01x = 590.02 × 334.65
  4. Step 4: Simplify right side
    428.01x = 197,450.19
  5. Step 5: Solve for x
    x = 197,450.19/428.01
  6. Step 6: Final answer
    x = 461.32

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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.