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Finding the Fourth Proportional to 190.47, 284.45 and 166.17

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Solution

The fourth proportional to 190.47, 284.45 and 166.17 is: 248.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.47 : 284.45 = 166.17 : x
  2. Step 2: Convert to fraction form
    190.47/284.45 = 166.17/x
  3. Step 3: Cross multiply
    190.47x = 284.45 × 166.17
  4. Step 4: Simplify right side
    190.47x = 47,266.23
  5. Step 5: Solve for x
    x = 47,266.23/190.47
  6. Step 6: Final answer
    x = 248.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.