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Finding the Fourth Proportional to 395.43, 590.52 and 340.76

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Solution

The fourth proportional to 395.43, 590.52 and 340.76 is: 508.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.43 : 590.52 = 340.76 : x
  2. Step 2: Convert to fraction form
    395.43/590.52 = 340.76/x
  3. Step 3: Cross multiply
    395.43x = 590.52 × 340.76
  4. Step 4: Simplify right side
    395.43x = 201,225.60
  5. Step 5: Solve for x
    x = 201,225.60/395.43
  6. Step 6: Final answer
    x = 508.88

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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.