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Finding the Fourth Proportional to 307.90, 462.81 and 286.50

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Solution

The fourth proportional to 307.90, 462.81 and 286.50 is: 430.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.90 : 462.81 = 286.50 : x
  2. Step 2: Convert to fraction form
    307.90/462.81 = 286.50/x
  3. Step 3: Cross multiply
    307.90x = 462.81 × 286.50
  4. Step 4: Simplify right side
    307.90x = 132,597.87
  5. Step 5: Solve for x
    x = 132,597.87/307.90
  6. Step 6: Final answer
    x = 430.65

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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.