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Finding the Fourth Proportional to 537.41, 741.34 and 340.58

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Solution

The fourth proportional to 537.41, 741.34 and 340.58 is: 469.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.41 : 741.34 = 340.58 : x
  2. Step 2: Convert to fraction form
    537.41/741.34 = 340.58/x
  3. Step 3: Cross multiply
    537.41x = 741.34 × 340.58
  4. Step 4: Simplify right side
    537.41x = 252,485.58
  5. Step 5: Solve for x
    x = 252,485.58/537.41
  6. Step 6: Final answer
    x = 469.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.