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Finding the Fourth Proportional to 404.79, 607.56 and 185.53

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Solution

The fourth proportional to 404.79, 607.56 and 185.53 is: 278.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.79 : 607.56 = 185.53 : x
  2. Step 2: Convert to fraction form
    404.79/607.56 = 185.53/x
  3. Step 3: Cross multiply
    404.79x = 607.56 × 185.53
  4. Step 4: Simplify right side
    404.79x = 112,722.54
  5. Step 5: Solve for x
    x = 112,722.54/404.79
  6. Step 6: Final answer
    x = 278.47

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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.