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Finding the Fourth Proportional to 560.08, 840.22 and 194.77

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Solution

The fourth proportional to 560.08, 840.22 and 194.77 is: 292.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.08 : 840.22 = 194.77 : x
  2. Step 2: Convert to fraction form
    560.08/840.22 = 194.77/x
  3. Step 3: Cross multiply
    560.08x = 840.22 × 194.77
  4. Step 4: Simplify right side
    560.08x = 163,648.68
  5. Step 5: Solve for x
    x = 163,648.68/560.08
  6. Step 6: Final answer
    x = 292.19

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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.