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Finding the Fourth Proportional to 445.29, 611.23 and 395.07

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Solution

The fourth proportional to 445.29, 611.23 and 395.07 is: 542.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.29 : 611.23 = 395.07 : x
  2. Step 2: Convert to fraction form
    445.29/611.23 = 395.07/x
  3. Step 3: Cross multiply
    445.29x = 611.23 × 395.07
  4. Step 4: Simplify right side
    445.29x = 241,478.64
  5. Step 5: Solve for x
    x = 241,478.64/445.29
  6. Step 6: Final answer
    x = 542.30

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.