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Finding the Fourth Proportional to 404.60, 557.74 and 293.90

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Solution

The fourth proportional to 404.60, 557.74 and 293.90 is: 405.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.60 : 557.74 = 293.90 : x
  2. Step 2: Convert to fraction form
    404.60/557.74 = 293.90/x
  3. Step 3: Cross multiply
    404.60x = 557.74 × 293.90
  4. Step 4: Simplify right side
    404.60x = 163,919.79
  5. Step 5: Solve for x
    x = 163,919.79/404.60
  6. Step 6: Final answer
    x = 405.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.