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Finding the Fourth Proportional to 651.70, 977.34 and 218.75

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Solution

The fourth proportional to 651.70, 977.34 and 218.75 is: 328.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.70 : 977.34 = 218.75 : x
  2. Step 2: Convert to fraction form
    651.70/977.34 = 218.75/x
  3. Step 3: Cross multiply
    651.70x = 977.34 × 218.75
  4. Step 4: Simplify right side
    651.70x = 213,793.13
  5. Step 5: Solve for x
    x = 213,793.13/651.70
  6. Step 6: Final answer
    x = 328.05

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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.