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Finding the Fourth Proportional to 429.60, 592.16 and 305.07

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Solution

The fourth proportional to 429.60, 592.16 and 305.07 is: 420.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.60 : 592.16 = 305.07 : x
  2. Step 2: Convert to fraction form
    429.60/592.16 = 305.07/x
  3. Step 3: Cross multiply
    429.60x = 592.16 × 305.07
  4. Step 4: Simplify right side
    429.60x = 180,648.73
  5. Step 5: Solve for x
    x = 180,648.73/429.60
  6. Step 6: Final answer
    x = 420.50

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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.