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Finding the Fourth Proportional to 610.76, 916.08 and 199.82

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Solution

The fourth proportional to 610.76, 916.08 and 199.82 is: 299.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.76 : 916.08 = 199.82 : x
  2. Step 2: Convert to fraction form
    610.76/916.08 = 199.82/x
  3. Step 3: Cross multiply
    610.76x = 916.08 × 199.82
  4. Step 4: Simplify right side
    610.76x = 183,051.11
  5. Step 5: Solve for x
    x = 183,051.11/610.76
  6. Step 6: Final answer
    x = 299.71

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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.