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Finding the Fourth Proportional to 608.15, 912.23 and 242.84

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Solution

The fourth proportional to 608.15, 912.23 and 242.84 is: 364.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.15 : 912.23 = 242.84 : x
  2. Step 2: Convert to fraction form
    608.15/912.23 = 242.84/x
  3. Step 3: Cross multiply
    608.15x = 912.23 × 242.84
  4. Step 4: Simplify right side
    608.15x = 221,525.93
  5. Step 5: Solve for x
    x = 221,525.93/608.15
  6. Step 6: Final answer
    x = 364.26

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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.