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Finding the Fourth Proportional to 293.88, 440.55 and 157.02

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Solution

The fourth proportional to 293.88, 440.55 and 157.02 is: 235.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.88 : 440.55 = 157.02 : x
  2. Step 2: Convert to fraction form
    293.88/440.55 = 157.02/x
  3. Step 3: Cross multiply
    293.88x = 440.55 × 157.02
  4. Step 4: Simplify right side
    293.88x = 69,175.16
  5. Step 5: Solve for x
    x = 69,175.16/293.88
  6. Step 6: Final answer
    x = 235.39

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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.