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Finding the Fourth Proportional to 307.79, 422.98 and 293.51

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Solution

The fourth proportional to 307.79, 422.98 and 293.51 is: 403.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.79 : 422.98 = 293.51 : x
  2. Step 2: Convert to fraction form
    307.79/422.98 = 293.51/x
  3. Step 3: Cross multiply
    307.79x = 422.98 × 293.51
  4. Step 4: Simplify right side
    307.79x = 124,148.86
  5. Step 5: Solve for x
    x = 124,148.86/307.79
  6. Step 6: Final answer
    x = 403.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.