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Finding the Fourth Proportional to 306.65, 459.68 and 142.29

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Solution

The fourth proportional to 306.65, 459.68 and 142.29 is: 213.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.65 : 459.68 = 142.29 : x
  2. Step 2: Convert to fraction form
    306.65/459.68 = 142.29/x
  3. Step 3: Cross multiply
    306.65x = 459.68 × 142.29
  4. Step 4: Simplify right side
    306.65x = 65,407.16
  5. Step 5: Solve for x
    x = 65,407.16/306.65
  6. Step 6: Final answer
    x = 213.29

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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.