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Finding the Fourth Proportional to 428.13, 590.89 and 248.65

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Solution

The fourth proportional to 428.13, 590.89 and 248.65 is: 343.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.13 : 590.89 = 248.65 : x
  2. Step 2: Convert to fraction form
    428.13/590.89 = 248.65/x
  3. Step 3: Cross multiply
    428.13x = 590.89 × 248.65
  4. Step 4: Simplify right side
    428.13x = 146,924.31
  5. Step 5: Solve for x
    x = 146,924.31/428.13
  6. Step 6: Final answer
    x = 343.18

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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.