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Finding the Fourth Proportional to 404.93, 559.69 and 295.17

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Solution

The fourth proportional to 404.93, 559.69 and 295.17 is: 407.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.93 : 559.69 = 295.17 : x
  2. Step 2: Convert to fraction form
    404.93/559.69 = 295.17/x
  3. Step 3: Cross multiply
    404.93x = 559.69 × 295.17
  4. Step 4: Simplify right side
    404.93x = 165,202.22
  5. Step 5: Solve for x
    x = 165,202.22/404.93
  6. Step 6: Final answer
    x = 407.98

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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.