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Finding the Fourth Proportional to 406.42, 561.13 and 259.40

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Solution

The fourth proportional to 406.42, 561.13 and 259.40 is: 358.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.42 : 561.13 = 259.40 : x
  2. Step 2: Convert to fraction form
    406.42/561.13 = 259.40/x
  3. Step 3: Cross multiply
    406.42x = 561.13 × 259.40
  4. Step 4: Simplify right side
    406.42x = 145,557.88
  5. Step 5: Solve for x
    x = 145,557.88/406.42
  6. Step 6: Final answer
    x = 358.15

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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.