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Finding the Fourth Proportional to 415.83, 623.19 and 184.77

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Solution

The fourth proportional to 415.83, 623.19 and 184.77 is: 276.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.83 : 623.19 = 184.77 : x
  2. Step 2: Convert to fraction form
    415.83/623.19 = 184.77/x
  3. Step 3: Cross multiply
    415.83x = 623.19 × 184.77
  4. Step 4: Simplify right side
    415.83x = 115,146.82
  5. Step 5: Solve for x
    x = 115,146.82/415.83
  6. Step 6: Final answer
    x = 276.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.