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Finding the Fourth Proportional to 514.03, 709.31 and 304.21

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Solution

The fourth proportional to 514.03, 709.31 and 304.21 is: 419.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.03 : 709.31 = 304.21 : x
  2. Step 2: Convert to fraction form
    514.03/709.31 = 304.21/x
  3. Step 3: Cross multiply
    514.03x = 709.31 × 304.21
  4. Step 4: Simplify right side
    514.03x = 215,779.45
  5. Step 5: Solve for x
    x = 215,779.45/514.03
  6. Step 6: Final answer
    x = 419.78

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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.