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Finding the Fourth Proportional to 611.02, 916.10 and 286.21

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Solution

The fourth proportional to 611.02, 916.10 and 286.21 is: 429.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.02 : 916.10 = 286.21 : x
  2. Step 2: Convert to fraction form
    611.02/916.10 = 286.21/x
  3. Step 3: Cross multiply
    611.02x = 916.10 × 286.21
  4. Step 4: Simplify right side
    611.02x = 262,195.55
  5. Step 5: Solve for x
    x = 262,195.55/611.02
  6. Step 6: Final answer
    x = 429.11

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Double scale
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Similar ratio
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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.