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Finding the Fourth Proportional to 493.52, 740.07 and 146.72

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Solution

The fourth proportional to 493.52, 740.07 and 146.72 is: 220.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.52 : 740.07 = 146.72 : x
  2. Step 2: Convert to fraction form
    493.52/740.07 = 146.72/x
  3. Step 3: Cross multiply
    493.52x = 740.07 × 146.72
  4. Step 4: Simplify right side
    493.52x = 108,583.07
  5. Step 5: Solve for x
    x = 108,583.07/493.52
  6. Step 6: Final answer
    x = 220.02

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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.