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Finding the Fourth Proportional to 405.89, 559.96 and 258.49

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Solution

The fourth proportional to 405.89, 559.96 and 258.49 is: 356.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.89 : 559.96 = 258.49 : x
  2. Step 2: Convert to fraction form
    405.89/559.96 = 258.49/x
  3. Step 3: Cross multiply
    405.89x = 559.96 × 258.49
  4. Step 4: Simplify right side
    405.89x = 144,744.06
  5. Step 5: Solve for x
    x = 144,744.06/405.89
  6. Step 6: Final answer
    x = 356.61

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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.