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Finding the Fourth Proportional to 560.23, 840.41 and 194.99

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Solution

The fourth proportional to 560.23, 840.41 and 194.99 is: 292.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.23 : 840.41 = 194.99 : x
  2. Step 2: Convert to fraction form
    560.23/840.41 = 194.99/x
  3. Step 3: Cross multiply
    560.23x = 840.41 × 194.99
  4. Step 4: Simplify right side
    560.23x = 163,867.34
  5. Step 5: Solve for x
    x = 163,867.34/560.23
  6. Step 6: Final answer
    x = 292.50

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Similar ratio
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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.