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Finding the Fourth Proportional to 407.45, 561.62 and 259.83

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Solution

The fourth proportional to 407.45, 561.62 and 259.83 is: 358.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.45 : 561.62 = 259.83 : x
  2. Step 2: Convert to fraction form
    407.45/561.62 = 259.83/x
  3. Step 3: Cross multiply
    407.45x = 561.62 × 259.83
  4. Step 4: Simplify right side
    407.45x = 145,926.37
  5. Step 5: Solve for x
    x = 145,926.37/407.45
  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.