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Finding the Fourth Proportional to 611.50, 917.16 and 200.64

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Solution

The fourth proportional to 611.50, 917.16 and 200.64 is: 300.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.50 : 917.16 = 200.64 : x
  2. Step 2: Convert to fraction form
    611.50/917.16 = 200.64/x
  3. Step 3: Cross multiply
    611.50x = 917.16 × 200.64
  4. Step 4: Simplify right side
    611.50x = 184,018.98
  5. Step 5: Solve for x
    x = 184,018.98/611.50
  6. Step 6: Final answer
    x = 300.93

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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.