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Finding the Fourth Proportional to 391.64, 537.59 and 346.39

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Solution

The fourth proportional to 391.64, 537.59 and 346.39 is: 475.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.64 : 537.59 = 346.39 : x
  2. Step 2: Convert to fraction form
    391.64/537.59 = 346.39/x
  3. Step 3: Cross multiply
    391.64x = 537.59 × 346.39
  4. Step 4: Simplify right side
    391.64x = 186,214.07
  5. Step 5: Solve for x
    x = 186,214.07/391.64
  6. Step 6: Final answer
    x = 475.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.