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Finding the Fourth Proportional to 405.84, 609.12 and 259.92

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Solution

The fourth proportional to 405.84, 609.12 and 259.92 is: 390.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.84 : 609.12 = 259.92 : x
  2. Step 2: Convert to fraction form
    405.84/609.12 = 259.92/x
  3. Step 3: Cross multiply
    405.84x = 609.12 × 259.92
  4. Step 4: Simplify right side
    405.84x = 158,322.47
  5. Step 5: Solve for x
    x = 158,322.47/405.84
  6. Step 6: Final answer
    x = 390.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.