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Finding the Fourth Proportional to 638.95, 958.14 and 292.40

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Solution

The fourth proportional to 638.95, 958.14 and 292.40 is: 438.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.95 : 958.14 = 292.40 : x
  2. Step 2: Convert to fraction form
    638.95/958.14 = 292.40/x
  3. Step 3: Cross multiply
    638.95x = 958.14 × 292.40
  4. Step 4: Simplify right side
    638.95x = 280,158.00
  5. Step 5: Solve for x
    x = 280,158.00/638.95
  6. Step 6: Final answer
    x = 438.47

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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.