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Finding the Fourth Proportional to 404.07, 558.10 and 293.37

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Solution

The fourth proportional to 404.07, 558.10 and 293.37 is: 405.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.07 : 558.10 = 293.37 : x
  2. Step 2: Convert to fraction form
    404.07/558.10 = 293.37/x
  3. Step 3: Cross multiply
    404.07x = 558.10 × 293.37
  4. Step 4: Simplify right side
    404.07x = 163,729.80
  5. Step 5: Solve for x
    x = 163,729.80/404.07
  6. Step 6: Final answer
    x = 405.20

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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.