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Finding the Fourth Proportional to 395.13, 590.63 and 278.80

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Solution

The fourth proportional to 395.13, 590.63 and 278.80 is: 416.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.13 : 590.63 = 278.80 : x
  2. Step 2: Convert to fraction form
    395.13/590.63 = 278.80/x
  3. Step 3: Cross multiply
    395.13x = 590.63 × 278.80
  4. Step 4: Simplify right side
    395.13x = 164,667.64
  5. Step 5: Solve for x
    x = 164,667.64/395.13
  6. Step 6: Final answer
    x = 416.74

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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.