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Finding the Fourth Proportional to 567.49, 851.30 and 156.66

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Solution

The fourth proportional to 567.49, 851.30 and 156.66 is: 235.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.49 : 851.30 = 156.66 : x
  2. Step 2: Convert to fraction form
    567.49/851.30 = 156.66/x
  3. Step 3: Cross multiply
    567.49x = 851.30 × 156.66
  4. Step 4: Simplify right side
    567.49x = 133,364.66
  5. Step 5: Solve for x
    x = 133,364.66/567.49
  6. Step 6: Final answer
    x = 235.01

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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.