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Finding the Fourth Proportional to 200.52, 276.81 and 148.07

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Solution

The fourth proportional to 200.52, 276.81 and 148.07 is: 204.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.52 : 276.81 = 148.07 : x
  2. Step 2: Convert to fraction form
    200.52/276.81 = 148.07/x
  3. Step 3: Cross multiply
    200.52x = 276.81 × 148.07
  4. Step 4: Simplify right side
    200.52x = 40,985.87
  5. Step 5: Solve for x
    x = 40,985.87/200.52
  6. Step 6: Final answer
    x = 204.40

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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.