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Finding the Fourth Proportional to 254.02, 381.05 and 157.63

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Solution

The fourth proportional to 254.02, 381.05 and 157.63 is: 236.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.02 : 381.05 = 157.63 : x
  2. Step 2: Convert to fraction form
    254.02/381.05 = 157.63/x
  3. Step 3: Cross multiply
    254.02x = 381.05 × 157.63
  4. Step 4: Simplify right side
    254.02x = 60,064.12
  5. Step 5: Solve for x
    x = 60,064.12/254.02
  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.