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Finding the Fourth Proportional to 410.37, 566.49 and 277.75

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Solution

The fourth proportional to 410.37, 566.49 and 277.75 is: 383.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.37 : 566.49 = 277.75 : x
  2. Step 2: Convert to fraction form
    410.37/566.49 = 277.75/x
  3. Step 3: Cross multiply
    410.37x = 566.49 × 277.75
  4. Step 4: Simplify right side
    410.37x = 157,342.60
  5. Step 5: Solve for x
    x = 157,342.60/410.37
  6. Step 6: Final answer
    x = 383.42

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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.