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Finding the Fourth Proportional to 601.39, 902.30 and 293.08

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Solution

The fourth proportional to 601.39, 902.30 and 293.08 is: 439.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.39 : 902.30 = 293.08 : x
  2. Step 2: Convert to fraction form
    601.39/902.30 = 293.08/x
  3. Step 3: Cross multiply
    601.39x = 902.30 × 293.08
  4. Step 4: Simplify right side
    601.39x = 264,446.08
  5. Step 5: Solve for x
    x = 264,446.08/601.39
  6. Step 6: Final answer
    x = 439.72

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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.