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Finding the Fourth Proportional to 415.15, 623.03 and 232.35

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Solution

The fourth proportional to 415.15, 623.03 and 232.35 is: 348.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.15 : 623.03 = 232.35 : x
  2. Step 2: Convert to fraction form
    415.15/623.03 = 232.35/x
  3. Step 3: Cross multiply
    415.15x = 623.03 × 232.35
  4. Step 4: Simplify right side
    415.15x = 144,759.86
  5. Step 5: Solve for x
    x = 144,759.86/415.15
  6. Step 6: Final answer
    x = 348.69

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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.