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Finding the Fourth Proportional to 404.57, 607.01 and 212.06

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Solution

The fourth proportional to 404.57, 607.01 and 212.06 is: 318.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.57 : 607.01 = 212.06 : x
  2. Step 2: Convert to fraction form
    404.57/607.01 = 212.06/x
  3. Step 3: Cross multiply
    404.57x = 607.01 × 212.06
  4. Step 4: Simplify right side
    404.57x = 128,723.00
  5. Step 5: Solve for x
    x = 128,723.00/404.57
  6. Step 6: Final answer
    x = 318.17

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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.