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Finding the Fourth Proportional to 611.04, 916.08 and 199.93

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Solution

The fourth proportional to 611.04, 916.08 and 199.93 is: 299.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.04 : 916.08 = 199.93 : x
  2. Step 2: Convert to fraction form
    611.04/916.08 = 199.93/x
  3. Step 3: Cross multiply
    611.04x = 916.08 × 199.93
  4. Step 4: Simplify right side
    611.04x = 183,151.87
  5. Step 5: Solve for x
    x = 183,151.87/611.04
  6. Step 6: Final answer
    x = 299.74

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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.