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Finding the Fourth Proportional to 288.60, 397.86 and 178.00

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Solution

The fourth proportional to 288.60, 397.86 and 178.00 is: 245.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.60 : 397.86 = 178.00 : x
  2. Step 2: Convert to fraction form
    288.60/397.86 = 178.00/x
  3. Step 3: Cross multiply
    288.60x = 397.86 × 178.00
  4. Step 4: Simplify right side
    288.60x = 70,818.91
  5. Step 5: Solve for x
    x = 70,818.91/288.60
  6. Step 6: Final answer
    x = 245.39

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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.