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Finding the Fourth Proportional to 493.94, 740.98 and 220.03

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Solution

The fourth proportional to 493.94, 740.98 and 220.03 is: 330.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.94 : 740.98 = 220.03 : x
  2. Step 2: Convert to fraction form
    493.94/740.98 = 220.03/x
  3. Step 3: Cross multiply
    493.94x = 740.98 × 220.03
  4. Step 4: Simplify right side
    493.94x = 163,037.83
  5. Step 5: Solve for x
    x = 163,037.83/493.94
  6. Step 6: Final answer
    x = 330.08

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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.