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Finding the Fourth Proportional to 404.70, 558.68 and 264.83

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Solution

The fourth proportional to 404.70, 558.68 and 264.83 is: 365.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.70 : 558.68 = 264.83 : x
  2. Step 2: Convert to fraction form
    404.70/558.68 = 264.83/x
  3. Step 3: Cross multiply
    404.70x = 558.68 × 264.83
  4. Step 4: Simplify right side
    404.70x = 147,953.20
  5. Step 5: Solve for x
    x = 147,953.20/404.70
  6. Step 6: Final answer
    x = 365.58

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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.