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Finding the Fourth Proportional to 405.09, 558.23 and 288.45

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Solution

The fourth proportional to 405.09, 558.23 and 288.45 is: 397.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.09 : 558.23 = 288.45 : x
  2. Step 2: Convert to fraction form
    405.09/558.23 = 288.45/x
  3. Step 3: Cross multiply
    405.09x = 558.23 × 288.45
  4. Step 4: Simplify right side
    405.09x = 161,021.44
  5. Step 5: Solve for x
    x = 161,021.44/405.09
  6. Step 6: Final answer
    x = 397.50

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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.