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Finding the Fourth Proportional to 193.34, 288.70 and 152.30

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Solution

The fourth proportional to 193.34, 288.70 and 152.30 is: 227.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.34 : 288.70 = 152.30 : x
  2. Step 2: Convert to fraction form
    193.34/288.70 = 152.30/x
  3. Step 3: Cross multiply
    193.34x = 288.70 × 152.30
  4. Step 4: Simplify right side
    193.34x = 43,968.25
  5. Step 5: Solve for x
    x = 43,968.25/193.34
  6. Step 6: Final answer
    x = 227.41

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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.