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Finding the Fourth Proportional to 360.99, 497.88 and 277.97

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Solution

The fourth proportional to 360.99, 497.88 and 277.97 is: 383.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.99 : 497.88 = 277.97 : x
  2. Step 2: Convert to fraction form
    360.99/497.88 = 277.97/x
  3. Step 3: Cross multiply
    360.99x = 497.88 × 277.97
  4. Step 4: Simplify right side
    360.99x = 138,393.21
  5. Step 5: Solve for x
    x = 138,393.21/360.99
  6. Step 6: Final answer
    x = 383.37

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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.