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Finding the Fourth Proportional to 567.77, 851.66 and 156.91

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Solution

The fourth proportional to 567.77, 851.66 and 156.91 is: 235.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.77 : 851.66 = 156.91 : x
  2. Step 2: Convert to fraction form
    567.77/851.66 = 156.91/x
  3. Step 3: Cross multiply
    567.77x = 851.66 × 156.91
  4. Step 4: Simplify right side
    567.77x = 133,634.84
  5. Step 5: Solve for x
    x = 133,634.84/567.77
  6. Step 6: Final answer
    x = 235.37

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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.