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Finding the Fourth Proportional to 560.74, 840.96 and 195.50

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Solution

The fourth proportional to 560.74, 840.96 and 195.50 is: 293.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.74 : 840.96 = 195.50 : x
  2. Step 2: Convert to fraction form
    560.74/840.96 = 195.50/x
  3. Step 3: Cross multiply
    560.74x = 840.96 × 195.50
  4. Step 4: Simplify right side
    560.74x = 164,407.68
  5. Step 5: Solve for x
    x = 164,407.68/560.74
  6. Step 6: Final answer
    x = 293.20

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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.