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Finding the Fourth Proportional to 404.48, 558.30 and 264.35

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Solution

The fourth proportional to 404.48, 558.30 and 264.35 is: 364.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.48 : 558.30 = 264.35 : x
  2. Step 2: Convert to fraction form
    404.48/558.30 = 264.35/x
  3. Step 3: Cross multiply
    404.48x = 558.30 × 264.35
  4. Step 4: Simplify right side
    404.48x = 147,583.81
  5. Step 5: Solve for x
    x = 147,583.81/404.48
  6. Step 6: Final answer
    x = 364.88

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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.