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Finding the Fourth Proportional to 334.16, 501.31 and 139.19

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Solution

The fourth proportional to 334.16, 501.31 and 139.19 is: 208.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.16 : 501.31 = 139.19 : x
  2. Step 2: Convert to fraction form
    334.16/501.31 = 139.19/x
  3. Step 3: Cross multiply
    334.16x = 501.31 × 139.19
  4. Step 4: Simplify right side
    334.16x = 69,777.34
  5. Step 5: Solve for x
    x = 69,777.34/334.16
  6. Step 6: Final answer
    x = 208.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.