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Finding the Fourth Proportional to 253, 379.77 and 125.02

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Solution

The fourth proportional to 253, 379.77 and 125.02 is: 187.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    253 : 379.77 = 125.02 : x
  2. Step 2: Convert to fraction form
    253/379.77 = 125.02/x
  3. Step 3: Cross multiply
    253x = 379.77 × 125.02
  4. Step 4: Simplify right side
    253x = 47,478.85
  5. Step 5: Solve for x
    x = 47,478.85/253
  6. Step 6: Final answer
    x = 187.66

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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.