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Finding the Fourth Proportional to 407.05, 610.75 and 214.63

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Solution

The fourth proportional to 407.05, 610.75 and 214.63 is: 322.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.05 : 610.75 = 214.63 : x
  2. Step 2: Convert to fraction form
    407.05/610.75 = 214.63/x
  3. Step 3: Cross multiply
    407.05x = 610.75 × 214.63
  4. Step 4: Simplify right side
    407.05x = 131,085.27
  5. Step 5: Solve for x
    x = 131,085.27/407.05
  6. Step 6: Final answer
    x = 322.04

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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.