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Finding the Fourth Proportional to 306.61, 459.58 and 123.91

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Solution

The fourth proportional to 306.61, 459.58 and 123.91 is: 185.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.61 : 459.58 = 123.91 : x
  2. Step 2: Convert to fraction form
    306.61/459.58 = 123.91/x
  3. Step 3: Cross multiply
    306.61x = 459.58 × 123.91
  4. Step 4: Simplify right side
    306.61x = 56,946.56
  5. Step 5: Solve for x
    x = 56,946.56/306.61
  6. Step 6: Final answer
    x = 185.73

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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.