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Finding the Fourth Proportional to 649.33, 973.88 and 187.01

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Solution

The fourth proportional to 649.33, 973.88 and 187.01 is: 280.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.33 : 973.88 = 187.01 : x
  2. Step 2: Convert to fraction form
    649.33/973.88 = 187.01/x
  3. Step 3: Cross multiply
    649.33x = 973.88 × 187.01
  4. Step 4: Simplify right side
    649.33x = 182,120.90
  5. Step 5: Solve for x
    x = 182,120.90/649.33
  6. Step 6: Final answer
    x = 280.48

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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.