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Finding the Fourth Proportional to 415.61, 623.35 and 123.11

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Solution

The fourth proportional to 415.61, 623.35 and 123.11 is: 184.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.61 : 623.35 = 123.11 : x
  2. Step 2: Convert to fraction form
    415.61/623.35 = 123.11/x
  3. Step 3: Cross multiply
    415.61x = 623.35 × 123.11
  4. Step 4: Simplify right side
    415.61x = 76,739.99
  5. Step 5: Solve for x
    x = 76,739.99/415.61
  6. Step 6: Final answer
    x = 184.64

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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.