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Finding the Fourth Proportional to 407.60, 610.86 and 190.72

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Solution

The fourth proportional to 407.60, 610.86 and 190.72 is: 285.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.60 : 610.86 = 190.72 : x
  2. Step 2: Convert to fraction form
    407.60/610.86 = 190.72/x
  3. Step 3: Cross multiply
    407.60x = 610.86 × 190.72
  4. Step 4: Simplify right side
    407.60x = 116,503.63
  5. Step 5: Solve for x
    x = 116,503.63/407.60
  6. Step 6: Final answer
    x = 285.83

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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.