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Finding the Fourth Proportional to 405.40, 559.45 and 228.36

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Solution

The fourth proportional to 405.40, 559.45 and 228.36 is: 315.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.40 : 559.45 = 228.36 : x
  2. Step 2: Convert to fraction form
    405.40/559.45 = 228.36/x
  3. Step 3: Cross multiply
    405.40x = 559.45 × 228.36
  4. Step 4: Simplify right side
    405.40x = 127,756.00
  5. Step 5: Solve for x
    x = 127,756.00/405.40
  6. Step 6: Final answer
    x = 315.14

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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.