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Finding the Fourth Proportional to 365.90, 546.63 and 278.99

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Solution

The fourth proportional to 365.90, 546.63 and 278.99 is: 416.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.90 : 546.63 = 278.99 : x
  2. Step 2: Convert to fraction form
    365.90/546.63 = 278.99/x
  3. Step 3: Cross multiply
    365.90x = 546.63 × 278.99
  4. Step 4: Simplify right side
    365.90x = 152,502.57
  5. Step 5: Solve for x
    x = 152,502.57/365.90
  6. Step 6: Final answer
    x = 416.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.