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Finding the Fourth Proportional to 58.30, 81.80 and 58.30

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Solution

The fourth proportional to 58.30, 81.80 and 58.30 is: 81.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.30 : 81.80 = 58.30 : x
  2. Step 2: Convert to fraction form
    58.30/81.80 = 58.30/x
  3. Step 3: Cross multiply
    58.30x = 81.80 × 58.30
  4. Step 4: Simplify right side
    58.30x = 4,768.94
  5. Step 5: Solve for x
    x = 4,768.94/58.30
  6. Step 6: Final answer
    x = 81.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.