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Finding the Fourth Proportional to 405.15, 608.07 and 289.88

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Solution

The fourth proportional to 405.15, 608.07 and 289.88 is: 435.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.15 : 608.07 = 289.88 : x
  2. Step 2: Convert to fraction form
    405.15/608.07 = 289.88/x
  3. Step 3: Cross multiply
    405.15x = 608.07 × 289.88
  4. Step 4: Simplify right side
    405.15x = 176,264.29
  5. Step 5: Solve for x
    x = 176,264.29/405.15
  6. Step 6: Final answer
    x = 435.06

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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.