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Finding the Fourth Proportional to 614.42, 921.62 and 306.18

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Solution

The fourth proportional to 614.42, 921.62 and 306.18 is: 459.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.42 : 921.62 = 306.18 : x
  2. Step 2: Convert to fraction form
    614.42/921.62 = 306.18/x
  3. Step 3: Cross multiply
    614.42x = 921.62 × 306.18
  4. Step 4: Simplify right side
    614.42x = 282,185.83
  5. Step 5: Solve for x
    x = 282,185.83/614.42
  6. Step 6: Final answer
    x = 459.27

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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.