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Finding the Fourth Proportional to 193.08, 266.40 and 146.61

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Solution

The fourth proportional to 193.08, 266.40 and 146.61 is: 202.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.08 : 266.40 = 146.61 : x
  2. Step 2: Convert to fraction form
    193.08/266.40 = 146.61/x
  3. Step 3: Cross multiply
    193.08x = 266.40 × 146.61
  4. Step 4: Simplify right side
    193.08x = 39,056.90
  5. Step 5: Solve for x
    x = 39,056.90/193.08
  6. Step 6: Final answer
    x = 202.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.