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Finding the Fourth Proportional to 534.12, 736.98 and 313.14

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Solution

The fourth proportional to 534.12, 736.98 and 313.14 is: 432.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.12 : 736.98 = 313.14 : x
  2. Step 2: Convert to fraction form
    534.12/736.98 = 313.14/x
  3. Step 3: Cross multiply
    534.12x = 736.98 × 313.14
  4. Step 4: Simplify right side
    534.12x = 230,777.92
  5. Step 5: Solve for x
    x = 230,777.92/534.12
  6. Step 6: Final answer
    x = 432.07

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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.