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Finding the Fourth Proportional to 538.09, 742.51 and 313.99

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Solution

The fourth proportional to 538.09, 742.51 and 313.99 is: 433.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.09 : 742.51 = 313.99 : x
  2. Step 2: Convert to fraction form
    538.09/742.51 = 313.99/x
  3. Step 3: Cross multiply
    538.09x = 742.51 × 313.99
  4. Step 4: Simplify right side
    538.09x = 233,140.71
  5. Step 5: Solve for x
    x = 233,140.71/538.09
  6. Step 6: Final answer
    x = 433.27

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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.