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Finding the Fourth Proportional to 407, 561.66 and 223

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Solution

The fourth proportional to 407, 561.66 and 223 is: 307.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    407 : 561.66 = 223 : x
  2. Step 2: Convert to fraction form
    407/561.66 = 223/x
  3. Step 3: Cross multiply
    407x = 561.66 × 223
  4. Step 4: Simplify right side
    407x = 125,250.18
  5. Step 5: Solve for x
    x = 125,250.18/407
  6. Step 6: Final answer
    x = 307.74

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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.