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Finding the Fourth Proportional to 291.96, 438.08 and 284.13

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Solution

The fourth proportional to 291.96, 438.08 and 284.13 is: 426.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.96 : 438.08 = 284.13 : x
  2. Step 2: Convert to fraction form
    291.96/438.08 = 284.13/x
  3. Step 3: Cross multiply
    291.96x = 438.08 × 284.13
  4. Step 4: Simplify right side
    291.96x = 124,470.25
  5. Step 5: Solve for x
    x = 124,470.25/291.96
  6. Step 6: Final answer
    x = 426.33

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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.