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Finding the Fourth Proportional to 406.57, 561.33 and 259.40

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Solution

The fourth proportional to 406.57, 561.33 and 259.40 is: 358.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.57 : 561.33 = 259.40 : x
  2. Step 2: Convert to fraction form
    406.57/561.33 = 259.40/x
  3. Step 3: Cross multiply
    406.57x = 561.33 × 259.40
  4. Step 4: Simplify right side
    406.57x = 145,610.41
  5. Step 5: Solve for x
    x = 145,610.41/406.57
  6. Step 6: Final answer
    x = 358.14

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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.