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Finding the Fourth Proportional to 306.29, 459.51 and 100.85

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Solution

The fourth proportional to 306.29, 459.51 and 100.85 is: 151.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.29 : 459.51 = 100.85 : x
  2. Step 2: Convert to fraction form
    306.29/459.51 = 100.85/x
  3. Step 3: Cross multiply
    306.29x = 459.51 × 100.85
  4. Step 4: Simplify right side
    306.29x = 46,342.35
  5. Step 5: Solve for x
    x = 46,342.35/306.29
  6. Step 6: Final answer
    x = 151.30

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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.