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Finding the Fourth Proportional to 612.62, 918.98 and 242.42

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Solution

The fourth proportional to 612.62, 918.98 and 242.42 is: 363.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.62 : 918.98 = 242.42 : x
  2. Step 2: Convert to fraction form
    612.62/918.98 = 242.42/x
  3. Step 3: Cross multiply
    612.62x = 918.98 × 242.42
  4. Step 4: Simplify right side
    612.62x = 222,775.14
  5. Step 5: Solve for x
    x = 222,775.14/612.62
  6. Step 6: Final answer
    x = 363.64

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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.