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Finding the Fourth Proportional to 252.58, 346.04 and 242.86

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Solution

The fourth proportional to 252.58, 346.04 and 242.86 is: 332.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.58 : 346.04 = 242.86 : x
  2. Step 2: Convert to fraction form
    252.58/346.04 = 242.86/x
  3. Step 3: Cross multiply
    252.58x = 346.04 × 242.86
  4. Step 4: Simplify right side
    252.58x = 84,039.27
  5. Step 5: Solve for x
    x = 84,039.27/252.58
  6. Step 6: Final answer
    x = 332.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.