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Finding the Fourth Proportional to 405.17, 607.92 and 242.85

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Solution

The fourth proportional to 405.17, 607.92 and 242.85 is: 364.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.17 : 607.92 = 242.85 : x
  2. Step 2: Convert to fraction form
    405.17/607.92 = 242.85/x
  3. Step 3: Cross multiply
    405.17x = 607.92 × 242.85
  4. Step 4: Simplify right side
    405.17x = 147,633.37
  5. Step 5: Solve for x
    x = 147,633.37/405.17
  6. Step 6: Final answer
    x = 364.37

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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.