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Finding the Fourth Proportional to 474.48, 654.78 and 278.03

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Solution

The fourth proportional to 474.48, 654.78 and 278.03 is: 383.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.48 : 654.78 = 278.03 : x
  2. Step 2: Convert to fraction form
    474.48/654.78 = 278.03/x
  3. Step 3: Cross multiply
    474.48x = 654.78 × 278.03
  4. Step 4: Simplify right side
    474.48x = 182,045.21
  5. Step 5: Solve for x
    x = 182,045.21/474.48
  6. Step 6: Final answer
    x = 383.68

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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.