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Finding the Fourth Proportional to 611.37, 917.10 and 178.50

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Solution

The fourth proportional to 611.37, 917.10 and 178.50 is: 267.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.37 : 917.10 = 178.50 : x
  2. Step 2: Convert to fraction form
    611.37/917.10 = 178.50/x
  3. Step 3: Cross multiply
    611.37x = 917.10 × 178.50
  4. Step 4: Simplify right side
    611.37x = 163,702.35
  5. Step 5: Solve for x
    x = 163,702.35/611.37
  6. Step 6: Final answer
    x = 267.76

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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.