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Finding the Fourth Proportional to 145.16, 200.27 and 82.95

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Solution

The fourth proportional to 145.16, 200.27 and 82.95 is: 114.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.16 : 200.27 = 82.95 : x
  2. Step 2: Convert to fraction form
    145.16/200.27 = 82.95/x
  3. Step 3: Cross multiply
    145.16x = 200.27 × 82.95
  4. Step 4: Simplify right side
    145.16x = 16,612.31
  5. Step 5: Solve for x
    x = 16,612.31/145.16
  6. Step 6: Final answer
    x = 114.44

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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.