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Finding the Fourth Proportional to 651.05, 976.57 and 266.30

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Solution

The fourth proportional to 651.05, 976.57 and 266.30 is: 399.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.05 : 976.57 = 266.30 : x
  2. Step 2: Convert to fraction form
    651.05/976.57 = 266.30/x
  3. Step 3: Cross multiply
    651.05x = 976.57 × 266.30
  4. Step 4: Simplify right side
    651.05x = 260,057.87
  5. Step 5: Solve for x
    x = 260,057.87/651.05
  6. Step 6: Final answer
    x = 399.45

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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.