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Finding the Fourth Proportional to 395.47, 590.36 and 314.20

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Solution

The fourth proportional to 395.47, 590.36 and 314.20 is: 469.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.47 : 590.36 = 314.20 : x
  2. Step 2: Convert to fraction form
    395.47/590.36 = 314.20/x
  3. Step 3: Cross multiply
    395.47x = 590.36 × 314.20
  4. Step 4: Simplify right side
    395.47x = 185,491.11
  5. Step 5: Solve for x
    x = 185,491.11/395.47
  6. Step 6: Final answer
    x = 469.04

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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.