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Finding the Fourth Proportional to 559.99, 840.35 and 252.01

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Solution

The fourth proportional to 559.99, 840.35 and 252.01 is: 378.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.99 : 840.35 = 252.01 : x
  2. Step 2: Convert to fraction form
    559.99/840.35 = 252.01/x
  3. Step 3: Cross multiply
    559.99x = 840.35 × 252.01
  4. Step 4: Simplify right side
    559.99x = 211,776.60
  5. Step 5: Solve for x
    x = 211,776.60/559.99
  6. Step 6: Final answer
    x = 378.18

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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.