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Finding the Fourth Proportional to 455.01, 628.15 and 306.41

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Solution

The fourth proportional to 455.01, 628.15 and 306.41 is: 423.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.01 : 628.15 = 306.41 : x
  2. Step 2: Convert to fraction form
    455.01/628.15 = 306.41/x
  3. Step 3: Cross multiply
    455.01x = 628.15 × 306.41
  4. Step 4: Simplify right side
    455.01x = 192,471.64
  5. Step 5: Solve for x
    x = 192,471.64/455.01
  6. Step 6: Final answer
    x = 423.01

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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.