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Finding the Fourth Proportional to 611.08, 916.40 and 200.11

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Solution

The fourth proportional to 611.08, 916.40 and 200.11 is: 300.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.08 : 916.40 = 200.11 : x
  2. Step 2: Convert to fraction form
    611.08/916.40 = 200.11/x
  3. Step 3: Cross multiply
    611.08x = 916.40 × 200.11
  4. Step 4: Simplify right side
    611.08x = 183,385.59
  5. Step 5: Solve for x
    x = 183,385.59/611.08
  6. Step 6: Final answer
    x = 300.10

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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.