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Finding the Fourth Proportional to 407.09, 561.89 and 251.75

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Solution

The fourth proportional to 407.09, 561.89 and 251.75 is: 347.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.09 : 561.89 = 251.75 : x
  2. Step 2: Convert to fraction form
    407.09/561.89 = 251.75/x
  3. Step 3: Cross multiply
    407.09x = 561.89 × 251.75
  4. Step 4: Simplify right side
    407.09x = 141,455.81
  5. Step 5: Solve for x
    x = 141,455.81/407.09
  6. Step 6: Final answer
    x = 347.48

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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.