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Finding the Fourth Proportional to 429.12, 643.27 and 282.98

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Solution

The fourth proportional to 429.12, 643.27 and 282.98 is: 424.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.12 : 643.27 = 282.98 : x
  2. Step 2: Convert to fraction form
    429.12/643.27 = 282.98/x
  3. Step 3: Cross multiply
    429.12x = 643.27 × 282.98
  4. Step 4: Simplify right side
    429.12x = 182,031.13
  5. Step 5: Solve for x
    x = 182,031.13/429.12
  6. Step 6: Final answer
    x = 424.20

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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.