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Finding the Fourth Proportional to 187.04, 278.89 and 175.43

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Solution

The fourth proportional to 187.04, 278.89 and 175.43 is: 261.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.04 : 278.89 = 175.43 : x
  2. Step 2: Convert to fraction form
    187.04/278.89 = 175.43/x
  3. Step 3: Cross multiply
    187.04x = 278.89 × 175.43
  4. Step 4: Simplify right side
    187.04x = 48,926.92
  5. Step 5: Solve for x
    x = 48,926.92/187.04
  6. Step 6: Final answer
    x = 261.58

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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.