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Finding the Fourth Proportional to 404.40, 558.32 and 264.77

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Solution

The fourth proportional to 404.40, 558.32 and 264.77 is: 365.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.40 : 558.32 = 264.77 : x
  2. Step 2: Convert to fraction form
    404.40/558.32 = 264.77/x
  3. Step 3: Cross multiply
    404.40x = 558.32 × 264.77
  4. Step 4: Simplify right side
    404.40x = 147,826.39
  5. Step 5: Solve for x
    x = 147,826.39/404.40
  6. Step 6: Final answer
    x = 365.54

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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.