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Finding the Fourth Proportional to 405.12, 608.08 and 259.18

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Solution

The fourth proportional to 405.12, 608.08 and 259.18 is: 389.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.12 : 608.08 = 259.18 : x
  2. Step 2: Convert to fraction form
    405.12/608.08 = 259.18/x
  3. Step 3: Cross multiply
    405.12x = 608.08 × 259.18
  4. Step 4: Simplify right side
    405.12x = 157,602.17
  5. Step 5: Solve for x
    x = 157,602.17/405.12
  6. Step 6: Final answer
    x = 389.03

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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.