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Finding the Fourth Proportional to 262.14, 392.88 and 125.07

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Solution

The fourth proportional to 262.14, 392.88 and 125.07 is: 187.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.14 : 392.88 = 125.07 : x
  2. Step 2: Convert to fraction form
    262.14/392.88 = 125.07/x
  3. Step 3: Cross multiply
    262.14x = 392.88 × 125.07
  4. Step 4: Simplify right side
    262.14x = 49,137.50
  5. Step 5: Solve for x
    x = 49,137.50/262.14
  6. Step 6: Final answer
    x = 187.45

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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.