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Finding the Fourth Proportional to 429.46, 592.64 and 242.96

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Solution

The fourth proportional to 429.46, 592.64 and 242.96 is: 335.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.46 : 592.64 = 242.96 : x
  2. Step 2: Convert to fraction form
    429.46/592.64 = 242.96/x
  3. Step 3: Cross multiply
    429.46x = 592.64 × 242.96
  4. Step 4: Simplify right side
    429.46x = 143,987.81
  5. Step 5: Solve for x
    x = 143,987.81/429.46
  6. Step 6: Final answer
    x = 335.28

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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.