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Finding the Fourth Proportional to 495.08, 741.90 and 278.20

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Solution

The fourth proportional to 495.08, 741.90 and 278.20 is: 416.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.08 : 741.90 = 278.20 : x
  2. Step 2: Convert to fraction form
    495.08/741.90 = 278.20/x
  3. Step 3: Cross multiply
    495.08x = 741.90 × 278.20
  4. Step 4: Simplify right side
    495.08x = 206,392.87
  5. Step 5: Solve for x
    x = 206,392.87/495.08
  6. Step 6: Final answer
    x = 416.89

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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.