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Finding the Fourth Proportional to 262.05, 392.51 and 189.75

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Solution

The fourth proportional to 262.05, 392.51 and 189.75 is: 284.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.05 : 392.51 = 189.75 : x
  2. Step 2: Convert to fraction form
    262.05/392.51 = 189.75/x
  3. Step 3: Cross multiply
    262.05x = 392.51 × 189.75
  4. Step 4: Simplify right side
    262.05x = 74,477.82
  5. Step 5: Solve for x
    x = 74,477.82/262.05
  6. Step 6: Final answer
    x = 284.21

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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.