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Finding the Fourth Proportional to 616.21, 924.07 and 226.09

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Solution

The fourth proportional to 616.21, 924.07 and 226.09 is: 339.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.21 : 924.07 = 226.09 : x
  2. Step 2: Convert to fraction form
    616.21/924.07 = 226.09/x
  3. Step 3: Cross multiply
    616.21x = 924.07 × 226.09
  4. Step 4: Simplify right side
    616.21x = 208,922.99
  5. Step 5: Solve for x
    x = 208,922.99/616.21
  6. Step 6: Final answer
    x = 339.05

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1.5x scale

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.