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Finding the Fourth Proportional to 505, 757.60 and 158.32

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Solution

The fourth proportional to 505, 757.60 and 158.32 is: 237.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    505 : 757.60 = 158.32 : x
  2. Step 2: Convert to fraction form
    505/757.60 = 158.32/x
  3. Step 3: Cross multiply
    505x = 757.60 × 158.32
  4. Step 4: Simplify right side
    505x = 119,943.23
  5. Step 5: Solve for x
    x = 119,943.23/505
  6. Step 6: Final answer
    x = 237.51

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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.