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Finding the Fourth Proportional to 302.38, 455.56 and 274.61

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Solution

The fourth proportional to 302.38, 455.56 and 274.61 is: 413.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.38 : 455.56 = 274.61 : x
  2. Step 2: Convert to fraction form
    302.38/455.56 = 274.61/x
  3. Step 3: Cross multiply
    302.38x = 455.56 × 274.61
  4. Step 4: Simplify right side
    302.38x = 125,101.33
  5. Step 5: Solve for x
    x = 125,101.33/302.38
  6. Step 6: Final answer
    x = 413.72

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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.