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Finding the Fourth Proportional to 407.57, 562.44 and 221.07

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Solution

The fourth proportional to 407.57, 562.44 and 221.07 is: 305.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.57 : 562.44 = 221.07 : x
  2. Step 2: Convert to fraction form
    407.57/562.44 = 221.07/x
  3. Step 3: Cross multiply
    407.57x = 562.44 × 221.07
  4. Step 4: Simplify right side
    407.57x = 124,338.61
  5. Step 5: Solve for x
    x = 124,338.61/407.57
  6. Step 6: Final answer
    x = 305.08

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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.