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Finding the Fourth Proportional to 418.05, 625.25 and 341.51

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Solution

The fourth proportional to 418.05, 625.25 and 341.51 is: 510.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.05 : 625.25 = 341.51 : x
  2. Step 2: Convert to fraction form
    418.05/625.25 = 341.51/x
  3. Step 3: Cross multiply
    418.05x = 625.25 × 341.51
  4. Step 4: Simplify right side
    418.05x = 213,526.86
  5. Step 5: Solve for x
    x = 213,526.86/418.05
  6. Step 6: Final answer
    x = 510.77

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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.