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Finding the Fourth Proportional to 187.65, 257.10 and 185.37

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Solution

The fourth proportional to 187.65, 257.10 and 185.37 is: 253.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.65 : 257.10 = 185.37 : x
  2. Step 2: Convert to fraction form
    187.65/257.10 = 185.37/x
  3. Step 3: Cross multiply
    187.65x = 257.10 × 185.37
  4. Step 4: Simplify right side
    187.65x = 47,658.63
  5. Step 5: Solve for x
    x = 47,658.63/187.65
  6. Step 6: Final answer
    x = 253.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.