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Finding the Fourth Proportional to 567.30, 851.08 and 259.24

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Solution

The fourth proportional to 567.30, 851.08 and 259.24 is: 388.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.30 : 851.08 = 259.24 : x
  2. Step 2: Convert to fraction form
    567.30/851.08 = 259.24/x
  3. Step 3: Cross multiply
    567.30x = 851.08 × 259.24
  4. Step 4: Simplify right side
    567.30x = 220,633.98
  5. Step 5: Solve for x
    x = 220,633.98/567.30
  6. Step 6: Final answer
    x = 388.92

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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.