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Finding the Fourth Proportional to 534.40, 736.58 and 357.29

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Solution

The fourth proportional to 534.40, 736.58 and 357.29 is: 492.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.40 : 736.58 = 357.29 : x
  2. Step 2: Convert to fraction form
    534.40/736.58 = 357.29/x
  3. Step 3: Cross multiply
    534.40x = 736.58 × 357.29
  4. Step 4: Simplify right side
    534.40x = 263,176.44
  5. Step 5: Solve for x
    x = 263,176.44/534.40
  6. Step 6: Final answer
    x = 492.47

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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.