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Finding the Fourth Proportional to 407.22, 562.02 and 282.81

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Solution

The fourth proportional to 407.22, 562.02 and 282.81 is: 390.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.22 : 562.02 = 282.81 : x
  2. Step 2: Convert to fraction form
    407.22/562.02 = 282.81/x
  3. Step 3: Cross multiply
    407.22x = 562.02 × 282.81
  4. Step 4: Simplify right side
    407.22x = 158,944.88
  5. Step 5: Solve for x
    x = 158,944.88/407.22
  6. Step 6: Final answer
    x = 390.32

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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.