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Finding the Fourth Proportional to 231.53, 347.28 and 58.19

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Solution

The fourth proportional to 231.53, 347.28 and 58.19 is: 87.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.53 : 347.28 = 58.19 : x
  2. Step 2: Convert to fraction form
    231.53/347.28 = 58.19/x
  3. Step 3: Cross multiply
    231.53x = 347.28 × 58.19
  4. Step 4: Simplify right side
    231.53x = 20,208.22
  5. Step 5: Solve for x
    x = 20,208.22/231.53
  6. Step 6: Final answer
    x = 87.28

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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.