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Finding the Fourth Proportional to 495.51, 743.60 and 187.57

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Solution

The fourth proportional to 495.51, 743.60 and 187.57 is: 281.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.51 : 743.60 = 187.57 : x
  2. Step 2: Convert to fraction form
    495.51/743.60 = 187.57/x
  3. Step 3: Cross multiply
    495.51x = 743.60 × 187.57
  4. Step 4: Simplify right side
    495.51x = 139,477.05
  5. Step 5: Solve for x
    x = 139,477.05/495.51
  6. Step 6: Final answer
    x = 281.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.