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Finding the Fourth Proportional to 429.90, 643.64 and 292.20

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Solution

The fourth proportional to 429.90, 643.64 and 292.20 is: 437.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.90 : 643.64 = 292.20 : x
  2. Step 2: Convert to fraction form
    429.90/643.64 = 292.20/x
  3. Step 3: Cross multiply
    429.90x = 643.64 × 292.20
  4. Step 4: Simplify right side
    429.90x = 188,070.15
  5. Step 5: Solve for x
    x = 188,070.15/429.90
  6. Step 6: Final answer
    x = 437.47

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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.