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Finding the Fourth Proportional to 455.42, 628.58 and 298.24

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Solution

The fourth proportional to 455.42, 628.58 and 298.24 is: 411.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.42 : 628.58 = 298.24 : x
  2. Step 2: Convert to fraction form
    455.42/628.58 = 298.24/x
  3. Step 3: Cross multiply
    455.42x = 628.58 × 298.24
  4. Step 4: Simplify right side
    455.42x = 187,467.70
  5. Step 5: Solve for x
    x = 187,467.70/455.42
  6. Step 6: Final answer
    x = 411.64

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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.