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Finding the Fourth Proportional to 307.84, 462 and 125.36

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Solution

The fourth proportional to 307.84, 462 and 125.36 is: 188.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.84 : 462 = 125.36 : x
  2. Step 2: Convert to fraction form
    307.84/462 = 125.36/x
  3. Step 3: Cross multiply
    307.84x = 462 × 125.36
  4. Step 4: Simplify right side
    307.84x = 57,916.32
  5. Step 5: Solve for x
    x = 57,916.32/307.84
  6. Step 6: Final answer
    x = 188.14

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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.