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Finding the Fourth Proportional to 560.72, 840.53 and 195.26

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Solution

The fourth proportional to 560.72, 840.53 and 195.26 is: 292.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.72 : 840.53 = 195.26 : x
  2. Step 2: Convert to fraction form
    560.72/840.53 = 195.26/x
  3. Step 3: Cross multiply
    560.72x = 840.53 × 195.26
  4. Step 4: Simplify right side
    560.72x = 164,116.71
  5. Step 5: Solve for x
    x = 164,116.71/560.72
  6. Step 6: Final answer
    x = 292.69

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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.