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Finding the Fourth Proportional to 501.90, 753.01 and 241.87

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Solution

The fourth proportional to 501.90, 753.01 and 241.87 is: 362.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.90 : 753.01 = 241.87 : x
  2. Step 2: Convert to fraction form
    501.90/753.01 = 241.87/x
  3. Step 3: Cross multiply
    501.90x = 753.01 × 241.87
  4. Step 4: Simplify right side
    501.90x = 182,129.25
  5. Step 5: Solve for x
    x = 182,129.25/501.90
  6. Step 6: Final answer
    x = 362.88

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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.