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Finding the Fourth Proportional to 564.78, 847.26 and 240.06

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Solution

The fourth proportional to 564.78, 847.26 and 240.06 is: 360.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.78 : 847.26 = 240.06 : x
  2. Step 2: Convert to fraction form
    564.78/847.26 = 240.06/x
  3. Step 3: Cross multiply
    564.78x = 847.26 × 240.06
  4. Step 4: Simplify right side
    564.78x = 203,393.24
  5. Step 5: Solve for x
    x = 203,393.24/564.78
  6. Step 6: Final answer
    x = 360.13

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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.