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Finding the Fourth Proportional to 395.03, 592.43 and 209.83

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Solution

The fourth proportional to 395.03, 592.43 and 209.83 is: 314.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.03 : 592.43 = 209.83 : x
  2. Step 2: Convert to fraction form
    395.03/592.43 = 209.83/x
  3. Step 3: Cross multiply
    395.03x = 592.43 × 209.83
  4. Step 4: Simplify right side
    395.03x = 124,307.06
  5. Step 5: Solve for x
    x = 124,307.06/395.03
  6. Step 6: Final answer
    x = 314.68

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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.