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Finding the Fourth Proportional to 501.23, 752.00 and 172.25

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Solution

The fourth proportional to 501.23, 752.00 and 172.25 is: 258.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.23 : 752.00 = 172.25 : x
  2. Step 2: Convert to fraction form
    501.23/752.00 = 172.25/x
  3. Step 3: Cross multiply
    501.23x = 752.00 × 172.25
  4. Step 4: Simplify right side
    501.23x = 129,533.02
  5. Step 5: Solve for x
    x = 129,533.02/501.23
  6. Step 6: Final answer
    x = 258.43

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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.