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Finding the Fourth Proportional to 405.46, 558.95 and 287.07

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Solution

The fourth proportional to 405.46, 558.95 and 287.07 is: 395.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.46 : 558.95 = 287.07 : x
  2. Step 2: Convert to fraction form
    405.46/558.95 = 287.07/x
  3. Step 3: Cross multiply
    405.46x = 558.95 × 287.07
  4. Step 4: Simplify right side
    405.46x = 160,453.55
  5. Step 5: Solve for x
    x = 160,453.55/405.46
  6. Step 6: Final answer
    x = 395.73

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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.