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Finding the Fourth Proportional to 651.88, 978.18 and 267.22

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Solution

The fourth proportional to 651.88, 978.18 and 267.22 is: 400.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.88 : 978.18 = 267.22 : x
  2. Step 2: Convert to fraction form
    651.88/978.18 = 267.22/x
  3. Step 3: Cross multiply
    651.88x = 978.18 × 267.22
  4. Step 4: Simplify right side
    651.88x = 261,389.26
  5. Step 5: Solve for x
    x = 261,389.26/651.88
  6. Step 6: Final answer
    x = 400.98

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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.