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Finding the Fourth Proportional to 193.55, 288.81 and 176.30

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Solution

The fourth proportional to 193.55, 288.81 and 176.30 is: 263.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.55 : 288.81 = 176.30 : x
  2. Step 2: Convert to fraction form
    193.55/288.81 = 176.30/x
  3. Step 3: Cross multiply
    193.55x = 288.81 × 176.30
  4. Step 4: Simplify right side
    193.55x = 50,915.76
  5. Step 5: Solve for x
    x = 50,915.76/193.55
  6. Step 6: Final answer
    x = 263.07

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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.