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Finding the Fourth Proportional to 610.69, 916.12 and 199.72

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Solution

The fourth proportional to 610.69, 916.12 and 199.72 is: 299.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.69 : 916.12 = 199.72 : x
  2. Step 2: Convert to fraction form
    610.69/916.12 = 199.72/x
  3. Step 3: Cross multiply
    610.69x = 916.12 × 199.72
  4. Step 4: Simplify right side
    610.69x = 182,967.49
  5. Step 5: Solve for x
    x = 182,967.49/610.69
  6. Step 6: Final answer
    x = 299.61

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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.