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Finding the Fourth Proportional to 233.88, 351.48 and 157.08

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Solution

The fourth proportional to 233.88, 351.48 and 157.08 is: 236.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.88 : 351.48 = 157.08 : x
  2. Step 2: Convert to fraction form
    233.88/351.48 = 157.08/x
  3. Step 3: Cross multiply
    233.88x = 351.48 × 157.08
  4. Step 4: Simplify right side
    233.88x = 55,210.48
  5. Step 5: Solve for x
    x = 55,210.48/233.88
  6. Step 6: Final answer
    x = 236.06

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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.