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Finding the Fourth Proportional to 306.81, 459.73 and 214.17

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Solution

The fourth proportional to 306.81, 459.73 and 214.17 is: 320.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.81 : 459.73 = 214.17 : x
  2. Step 2: Convert to fraction form
    306.81/459.73 = 214.17/x
  3. Step 3: Cross multiply
    306.81x = 459.73 × 214.17
  4. Step 4: Simplify right side
    306.81x = 98,457.00
  5. Step 5: Solve for x
    x = 98,457.00/306.81
  6. Step 6: Final answer
    x = 320.91

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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.