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Finding the Fourth Proportional to 155.48, 233.22 and 47.35

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Solution

The fourth proportional to 155.48, 233.22 and 47.35 is: 71.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.48 : 233.22 = 47.35 : x
  2. Step 2: Convert to fraction form
    155.48/233.22 = 47.35/x
  3. Step 3: Cross multiply
    155.48x = 233.22 × 47.35
  4. Step 4: Simplify right side
    155.48x = 11,042.97
  5. Step 5: Solve for x
    x = 11,042.97/155.48
  6. Step 6: Final answer
    x = 71.03

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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.