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Finding the Fourth Proportional to 291.04, 435.66 and 182.32

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Solution

The fourth proportional to 291.04, 435.66 and 182.32 is: 272.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.04 : 435.66 = 182.32 : x
  2. Step 2: Convert to fraction form
    291.04/435.66 = 182.32/x
  3. Step 3: Cross multiply
    291.04x = 435.66 × 182.32
  4. Step 4: Simplify right side
    291.04x = 79,429.53
  5. Step 5: Solve for x
    x = 79,429.53/291.04
  6. Step 6: Final answer
    x = 272.92

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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.