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Finding the Fourth Proportional to 534.93, 738.42 and 348.58

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Solution

The fourth proportional to 534.93, 738.42 and 348.58 is: 481.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.93 : 738.42 = 348.58 : x
  2. Step 2: Convert to fraction form
    534.93/738.42 = 348.58/x
  3. Step 3: Cross multiply
    534.93x = 738.42 × 348.58
  4. Step 4: Simplify right side
    534.93x = 257,395.98
  5. Step 5: Solve for x
    x = 257,395.98/534.93
  6. Step 6: Final answer
    x = 481.18

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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.