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Finding the Fourth Proportional to 468.88, 647.16 and 282.48

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Solution

The fourth proportional to 468.88, 647.16 and 282.48 is: 389.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.88 : 647.16 = 282.48 : x
  2. Step 2: Convert to fraction form
    468.88/647.16 = 282.48/x
  3. Step 3: Cross multiply
    468.88x = 647.16 × 282.48
  4. Step 4: Simplify right side
    468.88x = 182,809.76
  5. Step 5: Solve for x
    x = 182,809.76/468.88
  6. Step 6: Final answer
    x = 389.89

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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.