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Finding the Fourth Proportional to 559.84, 840.24 and 271.36

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Solution

The fourth proportional to 559.84, 840.24 and 271.36 is: 407.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.84 : 840.24 = 271.36 : x
  2. Step 2: Convert to fraction form
    559.84/840.24 = 271.36/x
  3. Step 3: Cross multiply
    559.84x = 840.24 × 271.36
  4. Step 4: Simplify right side
    559.84x = 228,007.53
  5. Step 5: Solve for x
    x = 228,007.53/559.84
  6. Step 6: Final answer
    x = 407.27

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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.