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Finding the Fourth Proportional to 291.53, 436.95 and 118.19

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Solution

The fourth proportional to 291.53, 436.95 and 118.19 is: 177.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.53 : 436.95 = 118.19 : x
  2. Step 2: Convert to fraction form
    291.53/436.95 = 118.19/x
  3. Step 3: Cross multiply
    291.53x = 436.95 × 118.19
  4. Step 4: Simplify right side
    291.53x = 51,644.21
  5. Step 5: Solve for x
    x = 51,644.21/291.53
  6. Step 6: Final answer
    x = 177.15

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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.