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Finding the Fourth Proportional to 58.53, 80.78 and 35.22

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Solution

The fourth proportional to 58.53, 80.78 and 35.22 is: 48.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.53 : 80.78 = 35.22 : x
  2. Step 2: Convert to fraction form
    58.53/80.78 = 35.22/x
  3. Step 3: Cross multiply
    58.53x = 80.78 × 35.22
  4. Step 4: Simplify right side
    58.53x = 2,845.07
  5. Step 5: Solve for x
    x = 2,845.07/58.53
  6. Step 6: Final answer
    x = 48.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.