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Finding the Fourth Proportional to 291.47, 436.05 and 187.92

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Solution

The fourth proportional to 291.47, 436.05 and 187.92 is: 281.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.47 : 436.05 = 187.92 : x
  2. Step 2: Convert to fraction form
    291.47/436.05 = 187.92/x
  3. Step 3: Cross multiply
    291.47x = 436.05 × 187.92
  4. Step 4: Simplify right side
    291.47x = 81,942.52
  5. Step 5: Solve for x
    x = 81,942.52/291.47
  6. Step 6: Final answer
    x = 281.14

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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.