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Finding the Fourth Proportional to 534.83, 738.05 and 298.76

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Solution

The fourth proportional to 534.83, 738.05 and 298.76 is: 412.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.83 : 738.05 = 298.76 : x
  2. Step 2: Convert to fraction form
    534.83/738.05 = 298.76/x
  3. Step 3: Cross multiply
    534.83x = 738.05 × 298.76
  4. Step 4: Simplify right side
    534.83x = 220,494.63
  5. Step 5: Solve for x
    x = 220,494.63/534.83
  6. Step 6: Final answer
    x = 412.27

Related Problems

Find fourth proportional to 267.41, 369.02 and 149.38
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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.