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Finding the Fourth Proportional to 314.86, 474.62 and 261.09

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Solution

The fourth proportional to 314.86, 474.62 and 261.09 is: 393.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.86 : 474.62 = 261.09 : x
  2. Step 2: Convert to fraction form
    314.86/474.62 = 261.09/x
  3. Step 3: Cross multiply
    314.86x = 474.62 × 261.09
  4. Step 4: Simplify right side
    314.86x = 123,919.99
  5. Step 5: Solve for x
    x = 123,919.99/314.86
  6. Step 6: Final answer
    x = 393.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.