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Finding the Fourth Proportional to 245.64, 368.58 and 180.48

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Solution

The fourth proportional to 245.64, 368.58 and 180.48 is: 270.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.64 : 368.58 = 180.48 : x
  2. Step 2: Convert to fraction form
    245.64/368.58 = 180.48/x
  3. Step 3: Cross multiply
    245.64x = 368.58 × 180.48
  4. Step 4: Simplify right side
    245.64x = 66,521.32
  5. Step 5: Solve for x
    x = 66,521.32/245.64
  6. Step 6: Final answer
    x = 270.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.