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Finding the Fourth Proportional to 405.35, 559.40 and 258.02

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Solution

The fourth proportional to 405.35, 559.40 and 258.02 is: 356.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.35 : 559.40 = 258.02 : x
  2. Step 2: Convert to fraction form
    405.35/559.40 = 258.02/x
  3. Step 3: Cross multiply
    405.35x = 559.40 × 258.02
  4. Step 4: Simplify right side
    405.35x = 144,336.39
  5. Step 5: Solve for x
    x = 144,336.39/405.35
  6. Step 6: Final answer
    x = 356.08

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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.