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Finding the Fourth Proportional to 482.37, 723.45 and 157.66

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Solution

The fourth proportional to 482.37, 723.45 and 157.66 is: 236.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.37 : 723.45 = 157.66 : x
  2. Step 2: Convert to fraction form
    482.37/723.45 = 157.66/x
  3. Step 3: Cross multiply
    482.37x = 723.45 × 157.66
  4. Step 4: Simplify right side
    482.37x = 114,057.02
  5. Step 5: Solve for x
    x = 114,057.02/482.37
  6. Step 6: Final answer
    x = 236.45

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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.