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Finding the Fourth Proportional to 405.29, 607.33 and 242.79

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Solution

The fourth proportional to 405.29, 607.33 and 242.79 is: 363.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.29 : 607.33 = 242.79 : x
  2. Step 2: Convert to fraction form
    405.29/607.33 = 242.79/x
  3. Step 3: Cross multiply
    405.29x = 607.33 × 242.79
  4. Step 4: Simplify right side
    405.29x = 147,454.87
  5. Step 5: Solve for x
    x = 147,454.87/405.29
  6. Step 6: Final answer
    x = 363.83

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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.