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Finding the Fourth Proportional to 301.74, 455.15 and 292.02

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Solution

The fourth proportional to 301.74, 455.15 and 292.02 is: 440.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.74 : 455.15 = 292.02 : x
  2. Step 2: Convert to fraction form
    301.74/455.15 = 292.02/x
  3. Step 3: Cross multiply
    301.74x = 455.15 × 292.02
  4. Step 4: Simplify right side
    301.74x = 132,911.44
  5. Step 5: Solve for x
    x = 132,911.44/301.74
  6. Step 6: Final answer
    x = 440.48

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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.