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Finding the Fourth Proportional to 405.84, 555.24 and 404.11

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Solution

The fourth proportional to 405.84, 555.24 and 404.11 is: 552.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.84 : 555.24 = 404.11 : x
  2. Step 2: Convert to fraction form
    405.84/555.24 = 404.11/x
  3. Step 3: Cross multiply
    405.84x = 555.24 × 404.11
  4. Step 4: Simplify right side
    405.84x = 224,380.25
  5. Step 5: Solve for x
    x = 224,380.25/405.84
  6. Step 6: Final answer
    x = 552.87

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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.