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Finding the Fourth Proportional to 405.90, 557.06 and 364.19

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Solution

The fourth proportional to 405.90, 557.06 and 364.19 is: 499.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.90 : 557.06 = 364.19 : x
  2. Step 2: Convert to fraction form
    405.90/557.06 = 364.19/x
  3. Step 3: Cross multiply
    405.90x = 557.06 × 364.19
  4. Step 4: Simplify right side
    405.90x = 202,871.08
  5. Step 5: Solve for x
    x = 202,871.08/405.90
  6. Step 6: Final answer
    x = 499.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.