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Finding the Fourth Proportional to 404.79, 607.46 and 197.06

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Solution

The fourth proportional to 404.79, 607.46 and 197.06 is: 295.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.79 : 607.46 = 197.06 : x
  2. Step 2: Convert to fraction form
    404.79/607.46 = 197.06/x
  3. Step 3: Cross multiply
    404.79x = 607.46 × 197.06
  4. Step 4: Simplify right side
    404.79x = 119,703.52
  5. Step 5: Solve for x
    x = 119,703.52/404.79
  6. Step 6: Final answer
    x = 295.72

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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.