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Finding the Fourth Proportional to 288, 429.12 and 265.92

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Solution

The fourth proportional to 288, 429.12 and 265.92 is: 396.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    288 : 429.12 = 265.92 : x
  2. Step 2: Convert to fraction form
    288/429.12 = 265.92/x
  3. Step 3: Cross multiply
    288x = 429.12 × 265.92
  4. Step 4: Simplify right side
    288x = 114,111.59
  5. Step 5: Solve for x
    x = 114,111.59/288
  6. Step 6: Final answer
    x = 396.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.