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Finding the Fourth Proportional to 405.93, 561.07 and 296.18

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Solution

The fourth proportional to 405.93, 561.07 and 296.18 is: 409.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.93 : 561.07 = 296.18 : x
  2. Step 2: Convert to fraction form
    405.93/561.07 = 296.18/x
  3. Step 3: Cross multiply
    405.93x = 561.07 × 296.18
  4. Step 4: Simplify right side
    405.93x = 166,174.91
  5. Step 5: Solve for x
    x = 166,174.91/405.93
  6. Step 6: Final answer
    x = 409.37

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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.