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Finding the Fourth Proportional to 560.32, 840.79 and 195.37

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Solution

The fourth proportional to 560.32, 840.79 and 195.37 is: 293.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.32 : 840.79 = 195.37 : x
  2. Step 2: Convert to fraction form
    560.32/840.79 = 195.37/x
  3. Step 3: Cross multiply
    560.32x = 840.79 × 195.37
  4. Step 4: Simplify right side
    560.32x = 164,265.14
  5. Step 5: Solve for x
    x = 164,265.14/560.32
  6. Step 6: Final answer
    x = 293.16

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1.5x scale

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.