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Finding the Fourth Proportional to 407.21, 561.89 and 282.84

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Solution

The fourth proportional to 407.21, 561.89 and 282.84 is: 390.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.21 : 561.89 = 282.84 : x
  2. Step 2: Convert to fraction form
    407.21/561.89 = 282.84/x
  3. Step 3: Cross multiply
    407.21x = 561.89 × 282.84
  4. Step 4: Simplify right side
    407.21x = 158,923.55
  5. Step 5: Solve for x
    x = 158,923.55/407.21
  6. Step 6: Final answer
    x = 390.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.