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Finding the Fourth Proportional to 291.40, 436.95 and 174.29

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Solution

The fourth proportional to 291.40, 436.95 and 174.29 is: 261.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.40 : 436.95 = 174.29 : x
  2. Step 2: Convert to fraction form
    291.40/436.95 = 174.29/x
  3. Step 3: Cross multiply
    291.40x = 436.95 × 174.29
  4. Step 4: Simplify right side
    291.40x = 76,153.83
  5. Step 5: Solve for x
    x = 76,153.83/291.40
  6. Step 6: Final answer
    x = 261.34

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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.