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Finding the Fourth Proportional to 407.04, 561.92 and 282.80

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Solution

The fourth proportional to 407.04, 561.92 and 282.80 is: 390.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.04 : 561.92 = 282.80 : x
  2. Step 2: Convert to fraction form
    407.04/561.92 = 282.80/x
  3. Step 3: Cross multiply
    407.04x = 561.92 × 282.80
  4. Step 4: Simplify right side
    407.04x = 158,910.98
  5. Step 5: Solve for x
    x = 158,910.98/407.04
  6. Step 6: Final answer
    x = 390.41

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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.