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Finding the Fourth Proportional to 474.60, 654.88 and 278

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Solution

The fourth proportional to 474.60, 654.88 and 278 is: 383.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.60 : 654.88 = 278 : x
  2. Step 2: Convert to fraction form
    474.60/654.88 = 278/x
  3. Step 3: Cross multiply
    474.60x = 654.88 × 278
  4. Step 4: Simplify right side
    474.60x = 182,056.64
  5. Step 5: Solve for x
    x = 182,056.64/474.60
  6. Step 6: Final answer
    x = 383.60

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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.