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Finding the Fourth Proportional to 501.66, 752.13 and 193.25

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Solution

The fourth proportional to 501.66, 752.13 and 193.25 is: 289.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.66 : 752.13 = 193.25 : x
  2. Step 2: Convert to fraction form
    501.66/752.13 = 193.25/x
  3. Step 3: Cross multiply
    501.66x = 752.13 × 193.25
  4. Step 4: Simplify right side
    501.66x = 145,351.00
  5. Step 5: Solve for x
    x = 145,351.00/501.66
  6. Step 6: Final answer
    x = 289.74

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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.