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Finding the Fourth Proportional to 501.86, 752.83 and 193.71

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Solution

The fourth proportional to 501.86, 752.83 and 193.71 is: 290.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.86 : 752.83 = 193.71 : x
  2. Step 2: Convert to fraction form
    501.86/752.83 = 193.71/x
  3. Step 3: Cross multiply
    501.86x = 752.83 × 193.71
  4. Step 4: Simplify right side
    501.86x = 145,833.04
  5. Step 5: Solve for x
    x = 145,833.04/501.86
  6. Step 6: Final answer
    x = 290.58

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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.