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Finding the Fourth Proportional to 407.06, 561.81 and 296.90

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Solution

The fourth proportional to 407.06, 561.81 and 296.90 is: 409.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.06 : 561.81 = 296.90 : x
  2. Step 2: Convert to fraction form
    407.06/561.81 = 296.90/x
  3. Step 3: Cross multiply
    407.06x = 561.81 × 296.90
  4. Step 4: Simplify right side
    407.06x = 166,801.39
  5. Step 5: Solve for x
    x = 166,801.39/407.06
  6. Step 6: Final answer
    x = 409.77

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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.