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Finding the Fourth Proportional to 262.00, 392.72 and 125.14

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Solution

The fourth proportional to 262.00, 392.72 and 125.14 is: 187.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.00 : 392.72 = 125.14 : x
  2. Step 2: Convert to fraction form
    262.00/392.72 = 125.14/x
  3. Step 3: Cross multiply
    262.00x = 392.72 × 125.14
  4. Step 4: Simplify right side
    262.00x = 49,142.39
  5. Step 5: Solve for x
    x = 49,142.39/262.00
  6. Step 6: Final answer
    x = 187.57

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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.