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Finding the Fourth Proportional to 193.35, 266.85 and 146.65

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Solution

The fourth proportional to 193.35, 266.85 and 146.65 is: 202.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.35 : 266.85 = 146.65 : x
  2. Step 2: Convert to fraction form
    193.35/266.85 = 146.65/x
  3. Step 3: Cross multiply
    193.35x = 266.85 × 146.65
  4. Step 4: Simplify right side
    193.35x = 39,133.89
  5. Step 5: Solve for x
    x = 39,133.89/193.35
  6. Step 6: Final answer
    x = 202.40

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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.