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Finding the Fourth Proportional to 306.65, 459.88 and 162.29

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Solution

The fourth proportional to 306.65, 459.88 and 162.29 is: 243.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.65 : 459.88 = 162.29 : x
  2. Step 2: Convert to fraction form
    306.65/459.88 = 162.29/x
  3. Step 3: Cross multiply
    306.65x = 459.88 × 162.29
  4. Step 4: Simplify right side
    306.65x = 74,633.93
  5. Step 5: Solve for x
    x = 74,633.93/306.65
  6. Step 6: Final answer
    x = 243.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.