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Finding the Fourth Proportional to 560.57, 840.25 and 195.08

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Solution

The fourth proportional to 560.57, 840.25 and 195.08 is: 292.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.57 : 840.25 = 195.08 : x
  2. Step 2: Convert to fraction form
    560.57/840.25 = 195.08/x
  3. Step 3: Cross multiply
    560.57x = 840.25 × 195.08
  4. Step 4: Simplify right side
    560.57x = 163,918.55
  5. Step 5: Solve for x
    x = 163,918.55/560.57
  6. Step 6: Final answer
    x = 292.41

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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.