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Finding the Fourth Proportional to 407.39, 561.62 and 290.75

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Solution

The fourth proportional to 407.39, 561.62 and 290.75 is: 400.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.39 : 561.62 = 290.75 : x
  2. Step 2: Convert to fraction form
    407.39/561.62 = 290.75/x
  3. Step 3: Cross multiply
    407.39x = 561.62 × 290.75
  4. Step 4: Simplify right side
    407.39x = 163,289.56
  5. Step 5: Solve for x
    x = 163,289.56/407.39
  6. Step 6: Final answer
    x = 400.82

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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.