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Finding the Fourth Proportional to 253.02, 348.50 and 179.20

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Solution

The fourth proportional to 253.02, 348.50 and 179.20 is: 246.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.02 : 348.50 = 179.20 : x
  2. Step 2: Convert to fraction form
    253.02/348.50 = 179.20/x
  3. Step 3: Cross multiply
    253.02x = 348.50 × 179.20
  4. Step 4: Simplify right side
    253.02x = 62,451.20
  5. Step 5: Solve for x
    x = 62,451.20/253.02
  6. Step 6: Final answer
    x = 246.82

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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.