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Finding the Fourth Proportional to 155.50, 233.26 and 41.50

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Solution

The fourth proportional to 155.50, 233.26 and 41.50 is: 62.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.50 : 233.26 = 41.50 : x
  2. Step 2: Convert to fraction form
    155.50/233.26 = 41.50/x
  3. Step 3: Cross multiply
    155.50x = 233.26 × 41.50
  4. Step 4: Simplify right side
    155.50x = 9,680.29
  5. Step 5: Solve for x
    x = 9,680.29/155.50
  6. Step 6: Final answer
    x = 62.25

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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.