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Finding the Fourth Proportional to 345.26, 520.49 and 321.77

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Solution

The fourth proportional to 345.26, 520.49 and 321.77 is: 485.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.26 : 520.49 = 321.77 : x
  2. Step 2: Convert to fraction form
    345.26/520.49 = 321.77/x
  3. Step 3: Cross multiply
    345.26x = 520.49 × 321.77
  4. Step 4: Simplify right side
    345.26x = 167,473.86
  5. Step 5: Solve for x
    x = 167,473.86/345.26
  6. Step 6: Final answer
    x = 485.07

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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.