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Finding the Fourth Proportional to 407.00, 561.90 and 289.22

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Solution

The fourth proportional to 407.00, 561.90 and 289.22 is: 399.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.00 : 561.90 = 289.22 : x
  2. Step 2: Convert to fraction form
    407.00/561.90 = 289.22/x
  3. Step 3: Cross multiply
    407.00x = 561.90 × 289.22
  4. Step 4: Simplify right side
    407.00x = 162,509.91
  5. Step 5: Solve for x
    x = 162,509.91/407.00
  6. Step 6: Final answer
    x = 399.29

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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.