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Finding the Fourth Proportional to 430.31, 645.09 and 173.63

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Solution

The fourth proportional to 430.31, 645.09 and 173.63 is: 260.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.31 : 645.09 = 173.63 : x
  2. Step 2: Convert to fraction form
    430.31/645.09 = 173.63/x
  3. Step 3: Cross multiply
    430.31x = 645.09 × 173.63
  4. Step 4: Simplify right side
    430.31x = 112,003.75
  5. Step 5: Solve for x
    x = 112,003.75/430.31
  6. Step 6: Final answer
    x = 260.29

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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.