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Finding the Fourth Proportional to 560.22, 840.32 and 170.21

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Solution

The fourth proportional to 560.22, 840.32 and 170.21 is: 255.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.22 : 840.32 = 170.21 : x
  2. Step 2: Convert to fraction form
    560.22/840.32 = 170.21/x
  3. Step 3: Cross multiply
    560.22x = 840.32 × 170.21
  4. Step 4: Simplify right side
    560.22x = 143,035.25
  5. Step 5: Solve for x
    x = 143,035.25/560.22
  6. Step 6: Final answer
    x = 255.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.