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Finding the Fourth Proportional to 184.64, 253.20 and 178.08

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Solution

The fourth proportional to 184.64, 253.20 and 178.08 is: 244.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.64 : 253.20 = 178.08 : x
  2. Step 2: Convert to fraction form
    184.64/253.20 = 178.08/x
  3. Step 3: Cross multiply
    184.64x = 253.20 × 178.08
  4. Step 4: Simplify right side
    184.64x = 45,089.86
  5. Step 5: Solve for x
    x = 45,089.86/184.64
  6. Step 6: Final answer
    x = 244.20

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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.