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Finding the Fourth Proportional to 611.17, 916.63 and 200.30

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Solution

The fourth proportional to 611.17, 916.63 and 200.30 is: 300.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.17 : 916.63 = 200.30 : x
  2. Step 2: Convert to fraction form
    611.17/916.63 = 200.30/x
  3. Step 3: Cross multiply
    611.17x = 916.63 × 200.30
  4. Step 4: Simplify right side
    611.17x = 183,595.91
  5. Step 5: Solve for x
    x = 183,595.91/611.17
  6. Step 6: Final answer
    x = 300.40

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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.