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Finding the Fourth Proportional to 405.40, 559.64 and 258.23

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Solution

The fourth proportional to 405.40, 559.64 and 258.23 is: 356.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.40 : 559.64 = 258.23 : x
  2. Step 2: Convert to fraction form
    405.40/559.64 = 258.23/x
  3. Step 3: Cross multiply
    405.40x = 559.64 × 258.23
  4. Step 4: Simplify right side
    405.40x = 144,515.95
  5. Step 5: Solve for x
    x = 144,515.95/405.40
  6. Step 6: Final answer
    x = 356.48

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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.