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Finding the Fourth Proportional to 493.49, 740.24 and 288.09

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Solution

The fourth proportional to 493.49, 740.24 and 288.09 is: 432.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.49 : 740.24 = 288.09 : x
  2. Step 2: Convert to fraction form
    493.49/740.24 = 288.09/x
  3. Step 3: Cross multiply
    493.49x = 740.24 × 288.09
  4. Step 4: Simplify right side
    493.49x = 213,255.74
  5. Step 5: Solve for x
    x = 213,255.74/493.49
  6. Step 6: Final answer
    x = 432.14

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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.