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Finding the Fourth Proportional to 345, 517.57 and 182.64

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Solution

The fourth proportional to 345, 517.57 and 182.64 is: 274.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    345 : 517.57 = 182.64 : x
  2. Step 2: Convert to fraction form
    345/517.57 = 182.64/x
  3. Step 3: Cross multiply
    345x = 517.57 × 182.64
  4. Step 4: Simplify right side
    345x = 94,528.98
  5. Step 5: Solve for x
    x = 94,528.98/345
  6. Step 6: Final answer
    x = 274.00

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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.