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Finding the Fourth Proportional to 370.58, 555.82 and 123.80

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Solution

The fourth proportional to 370.58, 555.82 and 123.80 is: 185.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.58 : 555.82 = 123.80 : x
  2. Step 2: Convert to fraction form
    370.58/555.82 = 123.80/x
  3. Step 3: Cross multiply
    370.58x = 555.82 × 123.80
  4. Step 4: Simplify right side
    370.58x = 68,810.52
  5. Step 5: Solve for x
    x = 68,810.52/370.58
  6. Step 6: Final answer
    x = 185.68

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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.