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Finding the Fourth Proportional to 409.81, 614.64 and 214.69

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Solution

The fourth proportional to 409.81, 614.64 and 214.69 is: 322.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.81 : 614.64 = 214.69 : x
  2. Step 2: Convert to fraction form
    409.81/614.64 = 214.69/x
  3. Step 3: Cross multiply
    409.81x = 614.64 × 214.69
  4. Step 4: Simplify right side
    409.81x = 131,957.06
  5. Step 5: Solve for x
    x = 131,957.06/409.81
  6. Step 6: Final answer
    x = 322.00

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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.