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Finding the Fourth Proportional to 651.26, 977.29 and 266.50

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Solution

The fourth proportional to 651.26, 977.29 and 266.50 is: 399.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.26 : 977.29 = 266.50 : x
  2. Step 2: Convert to fraction form
    651.26/977.29 = 266.50/x
  3. Step 3: Cross multiply
    651.26x = 977.29 × 266.50
  4. Step 4: Simplify right side
    651.26x = 260,447.79
  5. Step 5: Solve for x
    x = 260,447.79/651.26
  6. Step 6: Final answer
    x = 399.91

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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.