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Finding the Fourth Proportional to 368.02, 551.96 and 148.64

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Solution

The fourth proportional to 368.02, 551.96 and 148.64 is: 222.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.02 : 551.96 = 148.64 : x
  2. Step 2: Convert to fraction form
    368.02/551.96 = 148.64/x
  3. Step 3: Cross multiply
    368.02x = 551.96 × 148.64
  4. Step 4: Simplify right side
    368.02x = 82,043.97
  5. Step 5: Solve for x
    x = 82,043.97/368.02
  6. Step 6: Final answer
    x = 222.93

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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.