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Finding the Fourth Proportional to 405.11, 558.70 and 286.85

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Solution

The fourth proportional to 405.11, 558.70 and 286.85 is: 395.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.11 : 558.70 = 286.85 : x
  2. Step 2: Convert to fraction form
    405.11/558.70 = 286.85/x
  3. Step 3: Cross multiply
    405.11x = 558.70 × 286.85
  4. Step 4: Simplify right side
    405.11x = 160,259.58
  5. Step 5: Solve for x
    x = 160,259.58/405.11
  6. Step 6: Final answer
    x = 395.60

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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.