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Finding the Fourth Proportional to 560.41, 840.76 and 236.00

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Solution

The fourth proportional to 560.41, 840.76 and 236.00 is: 354.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.41 : 840.76 = 236.00 : x
  2. Step 2: Convert to fraction form
    560.41/840.76 = 236.00/x
  3. Step 3: Cross multiply
    560.41x = 840.76 × 236.00
  4. Step 4: Simplify right side
    560.41x = 198,420.87
  5. Step 5: Solve for x
    x = 198,420.87/560.41
  6. Step 6: Final answer
    x = 354.07

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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.