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Finding the Fourth Proportional to 305.86, 458.93 and 123.21

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Solution

The fourth proportional to 305.86, 458.93 and 123.21 is: 184.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.86 : 458.93 = 123.21 : x
  2. Step 2: Convert to fraction form
    305.86/458.93 = 123.21/x
  3. Step 3: Cross multiply
    305.86x = 458.93 × 123.21
  4. Step 4: Simplify right side
    305.86x = 56,541.85
  5. Step 5: Solve for x
    x = 56,541.85/305.86
  6. Step 6: Final answer
    x = 184.86

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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.