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Finding the Fourth Proportional to 501.94, 752.82 and 177.23

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Solution

The fourth proportional to 501.94, 752.82 and 177.23 is: 265.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.94 : 752.82 = 177.23 : x
  2. Step 2: Convert to fraction form
    501.94/752.82 = 177.23/x
  3. Step 3: Cross multiply
    501.94x = 752.82 × 177.23
  4. Step 4: Simplify right side
    501.94x = 133,420.85
  5. Step 5: Solve for x
    x = 133,420.85/501.94
  6. Step 6: Final answer
    x = 265.81

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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.