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Finding the Fourth Proportional to 301.55, 455.09 and 301.55

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Solution

The fourth proportional to 301.55, 455.09 and 301.55 is: 455.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.55 : 455.09 = 301.55 : x
  2. Step 2: Convert to fraction form
    301.55/455.09 = 301.55/x
  3. Step 3: Cross multiply
    301.55x = 455.09 × 301.55
  4. Step 4: Simplify right side
    301.55x = 137,228.61
  5. Step 5: Solve for x
    x = 137,228.61/301.55
  6. Step 6: Final answer
    x = 455.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.