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Finding the Fourth Proportional to 406.51, 561.05 and 296.49

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Solution

The fourth proportional to 406.51, 561.05 and 296.49 is: 409.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.51 : 561.05 = 296.49 : x
  2. Step 2: Convert to fraction form
    406.51/561.05 = 296.49/x
  3. Step 3: Cross multiply
    406.51x = 561.05 × 296.49
  4. Step 4: Simplify right side
    406.51x = 166,345.71
  5. Step 5: Solve for x
    x = 166,345.71/406.51
  6. Step 6: Final answer
    x = 409.20

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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.