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Finding the Fourth Proportional to 493.57, 740.45 and 205

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Solution

The fourth proportional to 493.57, 740.45 and 205 is: 307.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.57 : 740.45 = 205 : x
  2. Step 2: Convert to fraction form
    493.57/740.45 = 205/x
  3. Step 3: Cross multiply
    493.57x = 740.45 × 205
  4. Step 4: Simplify right side
    493.57x = 151,792.25
  5. Step 5: Solve for x
    x = 151,792.25/493.57
  6. Step 6: Final answer
    x = 307.54

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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.