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Finding the Fourth Proportional to 375.05, 561.83 and 293.51

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Solution

The fourth proportional to 375.05, 561.83 and 293.51 is: 439.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.05 : 561.83 = 293.51 : x
  2. Step 2: Convert to fraction form
    375.05/561.83 = 293.51/x
  3. Step 3: Cross multiply
    375.05x = 561.83 × 293.51
  4. Step 4: Simplify right side
    375.05x = 164,902.72
  5. Step 5: Solve for x
    x = 164,902.72/375.05
  6. Step 6: Final answer
    x = 439.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.