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Finding the Fourth Proportional to 407.63, 562.52 and 223.63

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Solution

The fourth proportional to 407.63, 562.52 and 223.63 is: 308.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.63 : 562.52 = 223.63 : x
  2. Step 2: Convert to fraction form
    407.63/562.52 = 223.63/x
  3. Step 3: Cross multiply
    407.63x = 562.52 × 223.63
  4. Step 4: Simplify right side
    407.63x = 125,794.09
  5. Step 5: Solve for x
    x = 125,794.09/407.63
  6. Step 6: Final answer
    x = 308.60

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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.