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Finding the Fourth Proportional to 468.88, 647.02 and 259.02

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Solution

The fourth proportional to 468.88, 647.02 and 259.02 is: 357.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.88 : 647.02 = 259.02 : x
  2. Step 2: Convert to fraction form
    468.88/647.02 = 259.02/x
  3. Step 3: Cross multiply
    468.88x = 647.02 × 259.02
  4. Step 4: Simplify right side
    468.88x = 167,591.12
  5. Step 5: Solve for x
    x = 167,591.12/468.88
  6. Step 6: Final answer
    x = 357.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.