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Finding the Fourth Proportional to 278.64, 384.46 and 175.16

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Solution

The fourth proportional to 278.64, 384.46 and 175.16 is: 241.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.64 : 384.46 = 175.16 : x
  2. Step 2: Convert to fraction form
    278.64/384.46 = 175.16/x
  3. Step 3: Cross multiply
    278.64x = 384.46 × 175.16
  4. Step 4: Simplify right side
    278.64x = 67,342.01
  5. Step 5: Solve for x
    x = 67,342.01/278.64
  6. Step 6: Final answer
    x = 241.68

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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.