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Finding the Fourth Proportional to 307.50, 425.15 and 293.90

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Solution

The fourth proportional to 307.50, 425.15 and 293.90 is: 406.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.50 : 425.15 = 293.90 : x
  2. Step 2: Convert to fraction form
    307.50/425.15 = 293.90/x
  3. Step 3: Cross multiply
    307.50x = 425.15 × 293.90
  4. Step 4: Simplify right side
    307.50x = 124,951.59
  5. Step 5: Solve for x
    x = 124,951.59/307.50
  6. Step 6: Final answer
    x = 406.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.