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Finding the Fourth Proportional to 538.06, 807.19 and 277.99

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Solution

The fourth proportional to 538.06, 807.19 and 277.99 is: 417.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.06 : 807.19 = 277.99 : x
  2. Step 2: Convert to fraction form
    538.06/807.19 = 277.99/x
  3. Step 3: Cross multiply
    538.06x = 807.19 × 277.99
  4. Step 4: Simplify right side
    538.06x = 224,390.75
  5. Step 5: Solve for x
    x = 224,390.75/538.06
  6. Step 6: Final answer
    x = 417.04

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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.