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Finding the Fourth Proportional to 407.08, 561.66 and 259.92

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Solution

The fourth proportional to 407.08, 561.66 and 259.92 is: 358.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.08 : 561.66 = 259.92 : x
  2. Step 2: Convert to fraction form
    407.08/561.66 = 259.92/x
  3. Step 3: Cross multiply
    407.08x = 561.66 × 259.92
  4. Step 4: Simplify right side
    407.08x = 145,986.67
  5. Step 5: Solve for x
    x = 145,986.67/407.08
  6. Step 6: Final answer
    x = 358.62

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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.