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Finding the Fourth Proportional to 501.75, 752.49 and 154.98

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Solution

The fourth proportional to 501.75, 752.49 and 154.98 is: 232.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.75 : 752.49 = 154.98 : x
  2. Step 2: Convert to fraction form
    501.75/752.49 = 154.98/x
  3. Step 3: Cross multiply
    501.75x = 752.49 × 154.98
  4. Step 4: Simplify right side
    501.75x = 116,620.90
  5. Step 5: Solve for x
    x = 116,620.90/501.75
  6. Step 6: Final answer
    x = 232.43

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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.