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Finding the Fourth Proportional to 345.27, 515.40 and 286.95

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Solution

The fourth proportional to 345.27, 515.40 and 286.95 is: 428.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.27 : 515.40 = 286.95 : x
  2. Step 2: Convert to fraction form
    345.27/515.40 = 286.95/x
  3. Step 3: Cross multiply
    345.27x = 515.40 × 286.95
  4. Step 4: Simplify right side
    345.27x = 147,894.03
  5. Step 5: Solve for x
    x = 147,894.03/345.27
  6. Step 6: Final answer
    x = 428.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.