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Finding the Fourth Proportional to 193.02, 287.58 and 180.78

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Solution

The fourth proportional to 193.02, 287.58 and 180.78 is: 269.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.02 : 287.58 = 180.78 : x
  2. Step 2: Convert to fraction form
    193.02/287.58 = 180.78/x
  3. Step 3: Cross multiply
    193.02x = 287.58 × 180.78
  4. Step 4: Simplify right side
    193.02x = 51,988.71
  5. Step 5: Solve for x
    x = 51,988.71/193.02
  6. Step 6: Final answer
    x = 269.34

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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.