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Finding the Fourth Proportional to 187.04, 278.56 and 176

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Solution

The fourth proportional to 187.04, 278.56 and 176 is: 262.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.04 : 278.56 = 176 : x
  2. Step 2: Convert to fraction form
    187.04/278.56 = 176/x
  3. Step 3: Cross multiply
    187.04x = 278.56 × 176
  4. Step 4: Simplify right side
    187.04x = 49,026.56
  5. Step 5: Solve for x
    x = 49,026.56/187.04
  6. Step 6: Final answer
    x = 262.12

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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.