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Finding the Fourth Proportional to 407.34, 561.78 and 289.08

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Solution

The fourth proportional to 407.34, 561.78 and 289.08 is: 398.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.34 : 561.78 = 289.08 : x
  2. Step 2: Convert to fraction form
    407.34/561.78 = 289.08/x
  3. Step 3: Cross multiply
    407.34x = 561.78 × 289.08
  4. Step 4: Simplify right side
    407.34x = 162,399.36
  5. Step 5: Solve for x
    x = 162,399.36/407.34
  6. Step 6: Final answer
    x = 398.68

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