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Finding the Fourth Proportional to 616.21, 924.42 and 205.30

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Solution

The fourth proportional to 616.21, 924.42 and 205.30 is: 307.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.21 : 924.42 = 205.30 : x
  2. Step 2: Convert to fraction form
    616.21/924.42 = 205.30/x
  3. Step 3: Cross multiply
    616.21x = 924.42 × 205.30
  4. Step 4: Simplify right side
    616.21x = 189,786.51
  5. Step 5: Solve for x
    x = 189,786.51/616.21
  6. Step 6: Final answer
    x = 307.99

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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.