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Finding the Fourth Proportional to 495.99, 744.03 and 280.95

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Solution

The fourth proportional to 495.99, 744.03 and 280.95 is: 421.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.99 : 744.03 = 280.95 : x
  2. Step 2: Convert to fraction form
    495.99/744.03 = 280.95/x
  3. Step 3: Cross multiply
    495.99x = 744.03 × 280.95
  4. Step 4: Simplify right side
    495.99x = 209,035.23
  5. Step 5: Solve for x
    x = 209,035.23/495.99
  6. Step 6: Final answer
    x = 421.45

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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.