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Finding the Fourth Proportional to 560.42, 840.46 and 195.14

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Solution

The fourth proportional to 560.42, 840.46 and 195.14 is: 292.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.42 : 840.46 = 195.14 : x
  2. Step 2: Convert to fraction form
    560.42/840.46 = 195.14/x
  3. Step 3: Cross multiply
    560.42x = 840.46 × 195.14
  4. Step 4: Simplify right side
    560.42x = 164,007.36
  5. Step 5: Solve for x
    x = 164,007.36/560.42
  6. Step 6: Final answer
    x = 292.65

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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.