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Finding the Fourth Proportional to 407.16, 609.87 and 378.66

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Solution

The fourth proportional to 407.16, 609.87 and 378.66 is: 567.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.16 : 609.87 = 378.66 : x
  2. Step 2: Convert to fraction form
    407.16/609.87 = 378.66/x
  3. Step 3: Cross multiply
    407.16x = 609.87 × 378.66
  4. Step 4: Simplify right side
    407.16x = 230,933.37
  5. Step 5: Solve for x
    x = 230,933.37/407.16
  6. Step 6: Final answer
    x = 567.18

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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.