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Finding the Fourth Proportional to 405.14, 559.10 and 257.85

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Solution

The fourth proportional to 405.14, 559.10 and 257.85 is: 355.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.14 : 559.10 = 257.85 : x
  2. Step 2: Convert to fraction form
    405.14/559.10 = 257.85/x
  3. Step 3: Cross multiply
    405.14x = 559.10 × 257.85
  4. Step 4: Simplify right side
    405.14x = 144,164.58
  5. Step 5: Solve for x
    x = 144,164.58/405.14
  6. Step 6: Final answer
    x = 355.84

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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.