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Finding the Fourth Proportional to 233.72, 350.32 and 89.40

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Solution

The fourth proportional to 233.72, 350.32 and 89.40 is: 134.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.72 : 350.32 = 89.40 : x
  2. Step 2: Convert to fraction form
    233.72/350.32 = 89.40/x
  3. Step 3: Cross multiply
    233.72x = 350.32 × 89.40
  4. Step 4: Simplify right side
    233.72x = 31,318.61
  5. Step 5: Solve for x
    x = 31,318.61/233.72
  6. Step 6: Final answer
    x = 134.00

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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.