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Finding the Fourth Proportional to 291.93, 434.73 and 291.12

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Solution

The fourth proportional to 291.93, 434.73 and 291.12 is: 433.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.93 : 434.73 = 291.12 : x
  2. Step 2: Convert to fraction form
    291.93/434.73 = 291.12/x
  3. Step 3: Cross multiply
    291.93x = 434.73 × 291.12
  4. Step 4: Simplify right side
    291.93x = 126,558.60
  5. Step 5: Solve for x
    x = 126,558.60/291.93
  6. Step 6: Final answer
    x = 433.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.