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Finding the Fourth Proportional to 395.55, 590.83 and 314.15

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Solution

The fourth proportional to 395.55, 590.83 and 314.15 is: 469.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.55 : 590.83 = 314.15 : x
  2. Step 2: Convert to fraction form
    395.55/590.83 = 314.15/x
  3. Step 3: Cross multiply
    395.55x = 590.83 × 314.15
  4. Step 4: Simplify right side
    395.55x = 185,605.50
  5. Step 5: Solve for x
    x = 185,605.50/395.55
  6. Step 6: Final answer
    x = 469.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.